Question

A girl is playing with cube-shaped blocks. She arranges them as shown in the figure. The edge of each cube is 4 ft. Calculate the volume of the figure.

• A. 384 ft${}^3$
• B. 704 ft${}^3$
• C. 768 ft${}^3$
• D. 576 ft${}^3$

Answer 1

The correct option is C 768 ft${}^3$

${\text{Volume of a cube with side 'a' = a}}^3$$\text{Volume of cube with side 4 ft}=4^3=64f{t}^3$

$\text{There are 6 cubes on the front, and 6 cubes}$$\text{in back. So, there are a total of 12 cubes.}$

$\text{Volume of 12 cubes}=12\times \text{Volume of each cube}$

$\text{Total volume}=12\times 64=768f{t}^3$