To find the volume of a prism, we need to multiply its base area by its height.
For the first problem, the dimensions of the rectangular base are 13 ft by 12 ft, and the height of the prism is 1 ft. Therefore, the volume of the prism is:
Volume = base area x height
Volume = (13 ft x 12 ft) x 1 ft
Volume = 156 ft³
For the second problem, the dimensions of the rectangular base are 3/4 yd by 4 yd, and the height of the prism is 3-4/4 yd. To find the height in a proper fraction, we need to convert the mixed number to an improper fraction.
3-4/4 yd = 3 yd - 1/4 yd = 12/4 yd - 1/4 yd = 11/4 yd
Therefore, the volume of the prism is:
Volume = base area x height
Volume = (3/4 yd x 4 yd) x (11/4) yd
Volume = 3 yd³ - 3/16 yd³
Volume = 2 13/16 yd³
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toga:
@toga wrote:
To find the volume of a prism, we need to multiply its base area by its height.
For the first problem, the dimensions of the rectangular base are 13 ft by 12 ft, and the height of the prism is 1 ft. Therefore, the volume of the prism is:
Volume = base area x height
Volume = (13 ft x 12 ft) x 1 ft
Volume = 156 ft³
For the second problem, the dimensions of the rectangular base are 3/4 yd by 4 yd, and the height of the prism is 3-4/4 yd. To find the height in a proper fraction, we need to convert the mixed number to an improper fraction.
3-4/4 yd = 3 yd - 1/4 yd = 12/4 yd - 1/4 yd = 11/4 yd
Therefore, the volume of the prism is:
Volume = base area x height
Volume = (3/4 yd x 4 yd) x (11/4) yd
Volume = 3 yd³ - 3/16 yd³
Volume = 2 13/16 yd³
I had to do research since I'm not in your grade. If I'm wrong, I apologize.