Question

A solid is made up of three cubes resting side by side. The first cube has a side length of 12cm, the second cube has a side length of 9cm, and the third cube has a side length of 6cm. What is the volume of the solid?

Answer 1

The volume of the solid, composed of three cubes with side lengths of 12 cm, 9 cm, and 6 cm, is calculated by summing the individual volumes of each cube, which results in a total volume of 2673 cm³.

Step-by-step explanation:

The volume of a solid made up of three cubes can be calculated by finding the volume of each cube individually and then adding those volumes together. The formula to find the volume of a cube is V = s³, where s represents the length of a side of the cube.

• First cube: Side (s) = 12 cm, Volume (V) = 12 cm × 12 cm × 12 cm = 1728 cm³
• Second cube: Side (s) = 9 cm, Volume (V) = 9 cm × 9 cm × 9 cm = 729 cm³
• Third cube: Side (s) = 6 cm, Volume (V) = 6 cm × 6 cm × 6 cm = 216 cm³

The total volume of the solid is the sum of the volumes of the three cubes: 1728 cm³ + 729 cm³ + 216 cm³ = 2673 cm³.

Therefore, the volume of the solid is 2673 cm³.