Math Snap

STEP 1

1. The foundation is a rectangular prism.
2. The dimensions of the foundation are 15 yards long, 10 yards wide, and 3 yards high.
3. The cost of concrete is $3 per cubic yard.

STEP 2

1. Recall the formula for the volume of a rectangular prism.
2. Substitute the given dimensions into the formula.
3. Calculate the volume.
4. Calculate the total cost of the concrete.

STEP 3

Recall the formula for the volume of a rectangular prism:
$$V = \text{Length} \times \text{Width} \times \text{Height}$$

STEP 4

Substitute the given dimensions into the formula:
$$V = 15 \text{ yd} \times 10 \text{ yd} \times 3 \text{ yd}$$

STEP 5

Calculate the volume:
$$V = 15 \text{ yd} \times 10 \text{ yd} \times 3 \text{ yd}$$ $$= 450 \text{ yd}^3$$

Calculate the total cost of the concrete:
$$\text{Cost} = \text{Volume} \times \text{Cost per cubic yard}$$ $$= 450 \text{ yd}^3 \times 3 \text{ dollars/yd}^3$$ $$= 1350 \text{ dollars}$$ The total cost of the concrete is:
$$\boxed{1350 \text{ dollars}}$$