Problem 55 · Steve’s Chestful ChallengePrint one blank worksheet now, download its PDF, or prepare a family or classroom packet.
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Steve’s Chestful Challenge

Complete to collectMarble TabletLevel 3 · 5 Glints

Steve is going for the Bedrock Edition Chestful of Cobblestone achievement. It asks a player to mine cobblestone and put a chestful of it in a chest.

Steve wants to know how many blocks fill one single chest. It has 27 slots, and every full cobblestone stack contains 64 blocks.

One chest. Twenty-seven full stacks.

Each square below is one chest slot. Every slot holds one full stack of 64.

27 slots×64 blocks= blocks
Single chest · 27 slots · 64 in every slot

One stack of 64 cobblestone can form a solid 4 × 4 × 4 cube. The chest holds 27 of those stack-cubes.

Steve arranges the 27 stack-cubes in a 3 × 3 × 3 array. He claims they make one solid 12 × 12 × 12 cube with no blocks left over.

1 stack
4 × 4 × 4 = 64
27 stack-cubes
3 along each direction

One chest. Two volume models. Then Steve builds with the result.

Your chest totalPage 1: blocks
Stack-cube4 × 4 × 4
Steve's claim12 × 12 × 12

Record answers here. Use scratch paper for calculations.

  1. Is Steve's solid-cube claim correct? Find the cube's volume, then compare it with your chest total from page 1.

    Cube route 12 × 12 × 12 =
    Steve iscorrectornot correct

    Explain how arranging 27 cubes that are each 4 blocks long, 4 blocks wide, and 4 blocks high creates the side length Steve claims.

  2. After filling the chest, Steve uses its cobblestone to build a closed, one-block-thick hollow vault. The outside is 12 × 12 × 12, and the empty inside is 10 × 10 × 10.

    How many cobblestone blocks does the vault use? How many are left?

    LIFTED TOP FACE 12 × 12 EMPTY INSIDE 10 × 10 × 10 1-BLOCK SHELL 10 BLOCKS DEEP
    Exact-scale cutaway: front walls are faded so the 10-block depth is visible. Build all six faces.
    Outer volumeEmpty inner volumeVault usesBlocks left
  3. Pack the leftover cobblestone back into stacks of 64. How many full stacks are there, and how many extra blocks?

    Calculation:

At a glance

About this problem

These tags show what the problem is about and the math you’ll use. Choose one to find similar problems.

Theme

Skills

Grade

Math area

Topics

Is this a good fit?

Before you choose this problem

A plain-language look at readiness, thinking, time, and the expected response.

Math readiness

Designed for Grade 5

Uses Middle Grade 5 math.

Thinking

Stretch challenge

A nontrivial plan using familiar mathematical ideas.

Time & response

About 7–18 minutes

Moderate amount of written work · Short Explanation response.

How to support: Ask the learner to connect the chest’s 27 equal stacks to a 3-by-3-by-3 arrangement of smaller cubes before subtracting the empty space in the vault.

Keep exploring

Minecraft challenge 7 of 7

Technical reference

Rating, skills & curriculum

Designed for Grade 5 · Uses Middle Grade 5 math · About 7–18 minutes

Grade 5 · Measurement and units · Operations and computation · Volume and surface area · Multiplication and division · Multi-operation computation

MJ 5.5 · C3 · W2

Precise MJD coordinates, factor scores, skill weights, calibration evidence, and curriculum crosswalks. This reference is available to everyone and is intentionally last.

Content level

MJ 5.5

Grades 3–5

Grade 5 progression · point 5

Likely range
MJ 5.4–5.7
Confidence
90%

Challenge

C3 · Stretch

A nontrivial plan using familiar mathematical ideas.

  • Method selection2
  • Reasoning depth3
  • Novelty3
  • Constraint management2
  • Proof or justification2

Workload

W2 · Moderate

Several coordinated calculations, representations, or explanation steps.

Active time
7–18 minutes · typically 12
Response
Short Explanation
Known-method steps
11
  • Mechanical execution2
  • Written output1
  • Representation production1
  • Bookkeeping2

Learning focus

Skills this problem practices

What a successful response demonstrates, with each skill’s share of the content rating.

  • Understand volume as an attribute measured in unit cubes

    The learner can understand volume as an attribute measured in unit cubes. This capability is distinct from mere exposure to or isolated use of 3D shapes; arrays.

    • Transfer mastery
    • 20% focus
    • MJ 5.4 milestone
  • Find rectangular-prism volume using multiplication formulas

    The learner can find rectangular-prism volume using multiplication formulas. This capability is distinct from mere exposure to or isolated use of unit cubes; multiplication.

    • Transfer mastery
    • 25% focus
    • MJ 5.5 milestone
  • Fluently multiply multidigit whole numbers with the standard algorithm

    The learner can fluently multiply multidigit whole numbers with the standard algorithm. This capability is distinct from mere exposure to or isolated use of Grade 4 multiplication.

    • Independent mastery
    • 20% focus
    • MJ 5.4 milestone
  • Divide up to four-digit dividends by two-digit divisors

    The learner can divide up to four-digit dividends by two-digit divisors. This capability is distinct from mere exposure to or isolated use of long-division concepts; facts.

    • Independent mastery
    • 20% focus
    • MJ 5.5 milestone
  • Solve multistep whole-number problems and interpret remainders

    The learner can solve multistep whole-number problems and interpret remainders. This capability is distinct from mere exposure to or isolated use of four operations.

    • Transfer mastery
    • 15% focus
    • MJ 4.8 milestone

External alignment

Curriculum and standards crosswalks

Approved evidence-backed locations that support discovery. They do not define the MathJewels rating.

Bridges in Mathematicsthird-edition · 29 locations
Modules19 locations · Representative: Module 1: Place Value & the Standard Algorithm
Number Corner workouts10 locations · Representative: October: Solving Problems
Common Core State Standards for Mathematics2010 · 7 locations
Standards5 locations · Representative: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Standard components2 locations · Representative: Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.