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Volume formulas

Finding the volume of rectangular boxes with the formula V = l × w × h, and adding the volumes of two boxes put together.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Multiply length × width × height, in any order. For a shape made of two boxes, find each box's volume, then add them.

Watch for: Adding the three measurements instead of multiplying them. Multiplying only two of the three measurements. Multiplying the two boxes' volumes together instead of adding them.

At home: Measure a cereal box or shoebox to the nearest inch and find its volume. Which box in the kitchen holds the most?

Sample sheet and answer key

Luna's Space Adventure

Grade 5 · Volume formulas · 5.MD.C.5

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

V = l × w × h

Multiply length, width and height.

9 × 4 × 3 =3 × 7 × 5 =9 × 3 × 5 =6 × 8 × 6 =7 × 8 × 2 =4 × 8 × 2 =

Two boxes together

  1. 1

    A toy chest is made of two boxes stacked: one 6 × 3 × 4 ft and one 5 × 3 × 3 ft. What is the total volume?

    cubic ft

Use the formula

Length × width × height.

2 × 3 × 4 =cu units
4 × 3 × 3 =cu units
3 × 2 × 2 =cu units
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5MDC5-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 5 · Volume formulas · 5.MD.C.5

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

V = l × w × h

Multiply length, width and height.

9 × 4 × 3 =1083 × 7 × 5 =1059 × 3 × 5 =1356 × 8 × 6 =2887 × 8 × 2 =1124 × 8 × 2 =64

Two boxes together

  1. 1

    A toy chest is made of two boxes stacked: one 6 × 3 × 4 ft and one 5 × 3 × 3 ft. What is the total volume?

    6 × 3 × 4 + 5 × 3 × 3 = 117
    117cubic ft

Use the formula

Length × width × height.

2 × 3 × 4 =24cu units
4 × 3 × 3 =36cu units
3 × 2 × 2 =12cu units
Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5MDC5-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Common Core 5.MD.C.5 · Find the volume of rectangular prisms by multiplying and adding.

Also: Maryland 2025 5.GR.C.5 · Texas TEKS 5.4G · Florida B.E.S.T. MA.5.GR.3.2 · Virginia SOL 5.MG.2

More grade 5 sheets: measurement & data