For the following question, find the volume of the given prism. Round to the nearest tenth if necessary.
Width: 12.1 cm Width: 5.3 cm Height: 4.2 cm
A. 265.1 cm^3
B. 274.4 cm^3
C. 274.6 cm^3
D. 269.3 cm^3
The formula for the volume of a rectangular prism is V = length x width x height. In this case, the width is given as 12.1 cm and the length is given as 5.3 cm, so we have:
V = 12.1 cm x 5.3 cm x 4.2 cm
V = 270.546 cm^3
Rounding this to the nearest tenth gives us the answer of 274.6 cm^3, which is option C.
To find the volume of a prism, you need to multiply the base area of the prism by its height. In this case, the base of the prism is a rectangle, so the base area is calculated by multiplying the length and width of the rectangle.
Given:
Width: 12.1 cm
Length: 5.3 cm
Height: 4.2 cm
The base area = length * width
= 5.3 cm * 12.1 cm
= 64.13 cm^2 (rounded to the nearest hundredth)
Now, to calculate the volume, we multiply the base area by the height:
Volume = base area * height
= 64.13 cm^2 * 4.2 cm
= 269.146 cm^3 (rounded to the nearest tenth)
Therefore, the volume of the prism is approximately 269.3 cm^3 (rounded to the nearest tenth).
The correct answer is D. 269.3 cm^3.
To find the volume of a prism, we need to multiply the base area by the height. In this case, the base of the prism is a rectangle, so the base area is equal to the product of the width and length.
Given:
Width: 12.1 cm
Length: 5.3 cm
Height: 4.2 cm
First, we calculate the base area:
Base area = Width * Length
Base area = 12.1 cm * 5.3 cm
Base area ≈ 64.13 cm^2
Now that we have the base area, we multiply it by the height to get the volume:
Volume = Base area * Height
Volume ≈ 64.13 cm^2 * 4.2 cm
Volume ≈ 269.4 cm^3
Rounding to the nearest tenth, the volume of the prism is approximately 269.4 cm^3.
Therefore, the correct answer would be D. 269.3 cm^3 (rounded to the nearest tenth).