Find the volume of a pyramid whose base is 6 ft. by 5 ft. and has an 8 ft. height.
Choose the best answer from the options below:
A 50 ft³
B 60 ft³
C 70 ft³
D 80 ft³
80
To find the volume of a pyramid, we can use the formula V = (1/3) * base area * height.
First, calculate the base area by multiplying the length and width of the base: 6 ft. * 5 ft. = 30 ft².
Next, plug in the values into the formula: V = (1/3) * 30 ft² * 8 ft.
Simplifying the formula: V = (1/3) * 240 ft³.
Finally, evaluate the expression: V = 80 ft³.
Therefore, the correct answer is D) 80 ft³.
To find the volume of a pyramid, we can use the formula:
Volume = (1/3) * Base Area * Height
In this case, the base of the pyramid is a rectangle with dimensions 6 ft. by 5 ft., so the base area is:
Base Area = Length * Width
Base Area = 6 ft. * 5 ft.
Base Area = 30 ft²
The height of the pyramid is given as 8 ft.
Now, we can substitute the values into the volume formula:
Volume = (1/3) * Base Area * Height
Volume = (1/3) * 30 ft² * 8 ft
Volume = (1/3) * 240 ft³
Volume = 80 ft³
Therefore, the volume of the pyramid is 80 ft³.
The correct answer is D, 80 ft³.
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