6th Grade Volume of Prisms with Fractional Edges Quiz: 10 Questions with Explanations

A 16 cm³B 12 cm³C 48 cm³D 64 cm³

\(4 \times 4 \times 4 = 64\). The area of one face is 16.

A 9 unitsB 2 unitsC 4 unitsD \(\frac{1}{2}\) unit

18 / (\(4.5 \times 2\)) = \(18 \div 9 = 2\). Multiplying 4.5 by 2 only gives the base area, 9.

A \(\frac{1}{27}\text{ unit}^{3}\)B \(\frac{1}{3}\text{ unit}^{3}\)C \(\frac{1}{9}\text{ unit}^{3}\)D \(\frac{1}{6}\text{ unit}^{3}\)

(1/3)(1/3)(1/3) = 1/27.

A 5B 48C 72D 720

V = Bh, so h = \(60 \div 12 = 5\).

A 6.5 in³B 10 in³C 20 in³D 5 in³

\(2.5 \times 2 \times 2 = 10\).

A \(V = \ell + w + h\)B \(V = 2\ell w\)C \(V = \ell wh\)D \(V = \ell w\)

Multiply length, width, and height. The product l x w is only the base area.

A 12B 24C 6D 9

Full volume = 24, half is 12.

A 3B 9C 12D 27

\(3 \times 3 \times 3 = 27\), and \(27 \times 1\)/\(27 = 1\).

A 11B 3C 15D 540

90 / (\(6 \times 5\)) = 3.

A 72 cubic feetB 18 cubic feetC 36 cubic feetD 144 cubic feet

The crate holds \(6 \times 4 \times 3 = 72\), and half of that is 36.