Question

Choose the best translation of the English phase "the volume of a cube with sides 10 feet in length."

a) V = 10^3 cubic feet
b) V = 10^2 cubic feet
c) V = 10^4 cubic feet
d) V = 10 cubic feet

Answer 1

The volume of a cube with sides 10 feet in length is found using the formula V = a³, resulting in a volume of 1000 cubic feet, which corresponds to V = 10³ cubic feet.

Step-by-step explanation:

To determine the volume of a cube with sides 10 feet in length, we use the formula for the volume of a cube, which is V = a³, where 'a' is the length of the side of the cube. In this case, a is 10 feet. Therefore, the volume V can be calculated as follows:

V = 10³ cubic feet

V = 10 × 10 × 10 cubic feet

V = 1000 cubic feet

Thus, the best translation of the English phrase "the volume of a cube with sides 10 feet in length" is a) V = 10³ cubic feet.