5th Grade Volume of Rectangular Prisms Quiz: 10 Questions with Explanations

A 7 cubic unitsB 10 cubic unitsC 6 cubic unitsD 12 cubic units

One layer has \(3 \times 2 = 6\) cubes and there are 2 layers, so \(6 \times 2 = 12\). Adding \(3 + 2 + 2 = 7\) is a common mistake.

A 12 cubic cmB 20 cubic cmC 60 cubic cmD 120 cubic cm

\(5 \times 4 \times 3 = 60\). Multiplying only two edges gives 20, which is the base area.

A 24 cubesB 9 cubesC 12 cubesD 18 cubes

One layer has \(3 \times 2 = 6\) cubes, and there are 4 layers, so \(6 \times 4 = 24\).

A 34 cubic ftB 120 cubic ftC 60 cubic ftD 7.5 cubic ft

V = B × h = \(30 \times 4 = 120\). Adding gives 34, and dividing gives 7.5.

A 16 ftB 4 ftC 24 ftD 6 ft

The base area is \(6 \times 4 = 24\) and \(96 \div 24 = 4\). Dividing by only one edge gives 16 or 24.

A 30 cubic unitsB 36 cubic unitsC 34 cubic unitsD 24 cubic units

Prism A is \(5 \times 2 \times 3 = 30\) and prism B is \(2 \times 2 \times 1 = 4\). Add: \(30 + 4 = 34\).

A square inchesB inchesC poundsD cubic inches

Volume counts cubes, so it is measured in cubic units like cubic inches. Square inches measure area.

A 33 cubic inB 1,200 cubic inC 120 cubic inD 600 cubic in

\(15 \times 8 \times 10 = 1{,}200\). Adding the edges gives 33.

A 125 cubic ftB 15 cubic ftC 25 cubic ftD 75 cubic ft

\(5 \times 5 \times 5 = 125\). Multiplying \(5 \times 3\) gives 15, a mistake.

A 84 cubic ftB 12 cubic ftC 48 cubic ftD 1,728 cubic ft

Add the two volumes: \(48 + 36 = 84\). Subtracting gives 12, and multiplying gives 1,728.