A gift box is being constructed in the shape of a right rectangular prism. The base is 15 inches squared and the height is 5 inches. What will the volume of the gift box be?
(1 point)
The formula for the volume of a right rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
Given that the base is 15 inches squared and the height is 5 inches, we can plug in these values into the formula:
V = 15 * w * 5
V = 75w
Since we are not given the width of the prism, we cannot calculate the exact volume. The volume will be 75 times the width of the prism in cubic inches.
Well then find the width.
To find the width of the right rectangular prism, we can use the formula for the area of the base of a right rectangular prism, which is given as 15 square inches.
The area of the base of a right rectangular prism is equal to the length times the width. In this case, the base has an area of 15 square inches and the length is considered as the product of the length and the width.
We can set up the equation:
15 = 15 * w
Divide both sides by 15:
w = 1
Therefore, the width of the right rectangular prism is 1 inch.
Now that we know the length, width, and height of the prism, we can calculate the volume using the formula V = lwh:
V = 15 * 1 * 5
V = 75 cubic inches
Therefore, the volume of the gift box will be 75 cubic inches.