Question
The base of a prism is a rectangle. The length of the rectangle is 4 7/8 inches, and the width of the rectangle is 5 inches. The height of the prism is 12 1/2 inches. Which calculation gives the volume of the prism?
Answers
GPT 3.5
To calculate the volume of a prism, you need to multiply the area of the base by the height.
First, calculate the area of the base, which is the length multiplied by the width.
4 7/8 inches = 4 + 7/8 = 4 + 0.875 = 4.875 inches
Area of the base = length * width = 4.875 inches * 5 inches = 24.375 square inches
Now multiply the area of the base by the height to find the volume of the prism.
Volume = area of the base * height = 24.375 square inches * 12 1/2 inches
To multiply a whole number by a fraction, change the whole number to a fraction by putting it over 1.
12 1/2 inches = 12 + 1/2 = 12 + 0.5 = 12.5 inches
Volume = 24.375 square inches * 12.5 inches = 304.6875 cubic inches
Therefore, the calculation that gives the volume of the prism is 304.6875 cubic inches.
First, calculate the area of the base, which is the length multiplied by the width.
4 7/8 inches = 4 + 7/8 = 4 + 0.875 = 4.875 inches
Area of the base = length * width = 4.875 inches * 5 inches = 24.375 square inches
Now multiply the area of the base by the height to find the volume of the prism.
Volume = area of the base * height = 24.375 square inches * 12 1/2 inches
To multiply a whole number by a fraction, change the whole number to a fraction by putting it over 1.
12 1/2 inches = 12 + 1/2 = 12 + 0.5 = 12.5 inches
Volume = 24.375 square inches * 12.5 inches = 304.6875 cubic inches
Therefore, the calculation that gives the volume of the prism is 304.6875 cubic inches.