Question

compute the volume of a prism with a height of 26.500 centimeters and a base of 610.00 square centimeters
16,165 cu cm
16,165 cu cm
16,165 cm
16,165 sq cm

Explanation:

Step1: Recall the formula for the volume of a prism

The volume \( V \) of a prism is given by the formula \( V = B \times h \), where \( B \) is the area of the base and \( h \) is the height of the prism.

Step2: Substitute the given values into the formula

We are given that the base area \( B = 610.00 \, \text{cm}^2 \) and the height \( h = 26.500 \, \text{cm} \). Substituting these values into the formula, we get:

$$ V = 610.00 \times 26.500 $$

Step3: Perform the multiplication

Calculating the product: \( 610.00 \times 26.500 = 16165 \, \text{cubic centimeters (cu cm)} \) (Note: There seems to be a typo in the options as 16165 is the correct volume, but the options have 16.165 which might be a decimal placement error. However, following the calculation, the correct volume should be \( 16165 \, \text{cu cm} \), but if we assume a decimal error and the intended numbers were \( B = 6.10 \) and \( h = 2.65 \), then \( 6.10\times2.65 = 16.165 \, \text{cu cm} \), which matches the options. So likely a typo in the problem's given base area as 610.00 instead of 6.10. Proceeding with the options, the correct calculation for the options' context is \( 6.10\times2.65 = 16.165 \, \text{cu cm} \))

Answer:

Assuming a decimal placement error in the problem's given base area (treating 610.00 as 6.10), the volume is \( 16.165 \, \text{cu cm} \). So the correct option (assuming the first two options are same and correct) is: A. 16.165 cu cm (or the first option with 16.165 cu cm)