The area of the base of the prism shown is 1612 square centimeters and the height is 1014 centimeters. Which equation(s) can be used to determine the volume, in square centimeters, of the prism? Select all that apply.
A.V=1612×1014
B.V=(1612)2×1014
C.V=12(1612×1014)
D.V=1014×1612
E.V=1612×1612×1014
i chose B, and C, are they right?
To determine the volume of a prism, we multiply the area of the base by the height. In this case, the area of the base is given as 1612 square centimeters, and the height is given as 1014 centimeters. The equation for calculating the volume of the prism would be:
V = (Area of Base) × (Height)
Thus, the equation to determine the volume would be:
V = 1612 × 1014
Therefore, the correct answer is A. V = 1612 × 1014.
To find the volume of a prism, you need to multiply the area of the base by the height.
Given that the area of the base is 1612 square centimeters and the height is 1014 centimeters, we can select the equation(s) that correctly represent the volume.
The correct equation(s) to determine the volume can be found by:
A. V = 1612 × 1014: This equation multiplies the area of the base with the height, resulting in the volume of the prism.
B. V = (1612)2 × 1014: This equation incorrectly squares the area of the base before multiplying by the height. The area should only be multiplied by the height without squaring it.
C. V = 1/2 × (1612 × 1014): This equation includes a factor of 1/2, which is incorrect. The correct equation for finding the volume of a prism does not include a factor of 1/2.
D. V = 1014 × 1612: This equation correctly multiplies the area of the base by the height to determine the volume of the prism.
E. V = 1612 × 1612 × 1014: This equation also incorrectly squares the area of the base before multiplying by the height.
Therefore, the correct equation(s) to determine the volume of the prism are A (V = 1612 × 1014) and D (V = 1014 × 1612).