Practice Volume of Rectangular Prisms in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The volume of a rectangular prism is the number of unit cubes that fill the solid, calculated by multiplying length, width, and height.
Imagine filling a box with small cubes — the total number of cubes is the volume.
Showing a random 20 of 50 problems.
Example 1
easyHow many unit cubes fit in a 2 × 2 × 2 box?
Example 2
mediumHow many 2 cm cubes fit in a 6 cm × 4 cm × 4 cm box?
Example 3
easyWhat is the formula for the volume of a rectangular prism?
Example 4
easyA box has volume 30 and base area 6. Find its height.
Example 5
easyHow many unit cubes fit in a 3 × 3 × 3 box? How many unit cubes fill this 3×3×3 box?
Example 6
easyA cube has volume 27. Find its edge length.
Example 7
easyA box has volume 48 and base area 8. Find its height.
Example 8
mediumA cube has volume 125 cm³. Find its edge length.
Example 9
hardTwo boxes have the same volume. Box A is 6 × 4 × 5. Box B is a cube. Find the edge length of B (decimal OK).
Example 10
mediumA pool is 10 m × 5 m × 2 m. How many cubic meters of water fill it completely? Find the volume of water to fill this pool.
Example 11
challengeA 5 × 4 × 3 box is fully packed with 1 × 1 × 1 unit cubes. If you remove the cubes that touch any outer face, how many cubes remain?
Example 12
hardA 3 × 3 × 3 cube is painted on all faces, then cut into 1 × 1 × 1 unit cubes. How many unit cubes have NO paint?
Example 13
challengeA box with square base of side x and height 10 must hold at least 250 cm³. Find the smallest integer x. V ≥ 250 cm³. Find the smallest integer x.
Example 14
easyFind the volume of a box 5 × 4 × 3. Find the volume of this box.
Example 15
easyFind the volume of a cube with edge 4. Find the volume of this cube.
Example 16
hardA 4 × 4 × 4 cube is painted on all faces, then cut into unit cubes. How many unit cubes have paint on exactly two faces?
Example 17
easyIf you double the height of a box, what happens to its volume?
Example 18
mediumIf each edge of a cube doubles, the volume multiplies by what factor?
Example 19
mediumA fish tank is 60 cm × 30 cm × 40 cm. How many liters does it hold? (1000 cm³ = 1 L) How many liters does this fish tank hold? (1000 cm³ = 1 L)
Example 20
mediumA box is 12 × 5 × with volume 240 cm³. Find . V = 240 cm³. Find h.