Question

Milton got a paperweight like the one shown below. He needs to fill it with sand to give it weight.

Answer 1

2x2x2 = 8

4 x 2 x 2 = 16

16+8 = 24

Answer is A

Answer 2

Solution:

Given that, Milton got a paperweight like the one shown in the figure.

The Paper Weight is in the shape of a cuboid and a cube.

Length and breadth of cuboid is a and height of the cuboid is 2a, whereas side of cube is a.

The volume of sand required to fill in the Paper Weight , is equal to the volume of the Paper weight,

Volume of Paper Weight = Volume of cube + Volume of cuboid

We know that, Volume of cube =$(side)^{3}$

and , Volume of Cuboid = $length \times breadth \times height$

Volume of Paper Weight = $a^{3}+ (a\times a \times2a)= a^{3} +2a^{3} = 3a^{3}$

Given that , a = 2 inches , then Volume of Paper Weight = $3 \times (2)^{3}= 3\times 8 = 24$

$24 \: in^{3}$ is the volume of the paperweight.

Option A is the correct solution.