Question

determine (a) the volume and (b) the surface area of the three-dimensional figure. when appropriate, use the \\(\pi\\) key on your calculator.

a) the volume is
b) the surface area is

Explanation:

Identify the geometric figure and its dimensions

The figure is a cube with side length \(s = 10\text{ yd}\).

Calculate the volume of the cube

$$ V = s^3 = 10^3 = 1000\text{ yd}^3 $$

Calculate the surface area of the cube

$$ A = 6s^2 = 6 \times 10^2 = 600\text{ yd}^2 $$

Answer:

Question 1

a) The volume is <blank>1000</blank> <blank>\(\text{yd}^3\)</blank>

Question 2

b) The surface area is <blank>600</blank> <blank>\(\text{yd}^2\)</blank>