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Math  /  Geometry

Question5.6: Geometry \& Unit 5 ALEKS - Jorge Mandujano - Lea Measurement Word problem involving the volume of a rectangular prism Jorge
A concrete foundation for a building has the shape of a rectangular prism. The foundation is 15 yards long, 10 yards wide, and 3 yards high. If concrete costs $3\$ 3 Espantol per cubic yard, how much did the concrete cost for the foundation? \ \square$

Studdy Solution

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=Length×Width×Height V = \text{Length} \times \text{Width} \times \text{Height}

STEP 4

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

STEP 5

Calculate the volume:
V=15 yd×10 yd×3 yd V = 15 \text{ yd} \times 10 \text{ yd} \times 3 \text{ yd} =450 yd3 = 450 \text{ yd}^3

STEP 6

Calculate the total cost of the concrete:
Cost=Volume×Cost per cubic yard \text{Cost} = \text{Volume} \times \text{Cost per cubic yard} =450 yd3×3 dollars/yd3 = 450 \text{ yd}^3 \times 3 \text{ dollars/yd}^3 =1350 dollars = 1350 \text{ dollars}
The total cost of the concrete is:
1350 dollars \boxed{1350 \text{ dollars}}

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