Bot can you help me im struggling with this find the volume of the composite figure 2in, 6in, 6in, 8in, 8in, 12in, 10in
Answer Choices :
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3,120 in.^3
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264 in.^3
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2,400 in.^3
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2,640 in.^3
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To find the volume of the composite figure, you first need to determine the individual volumes of each shape and then add them together.
The composite figure consists of a rectangular prism with dimensions 2in x 6in x 8in, and a rectangular prism with dimensions 8in x 12in x 10in.
Volume of first rectangular prism = 2in x 6in x 8in = 96in^3
Volume of second rectangular prism = 8in x 12in x 10in = 960in^3
Total volume = 96in^3 + 960in^3 = 1056in^3
Therefore, the closest answer choice is 2,640 in.^3.
now 32 (width) 16 (height) 15 (length) and there is a smaller rectangle infront of that which has 5 (length) and 6 (height) and same width as the first rectangle
Answer Choices:
8,640 yd.^3
4,160 yd.^3
6, 080 yd.^3
5, 070 yd.^3
To find the volume of the composite figure, we first need to find the volume of the larger rectangular prism and then subtract the volume of the smaller rectangular prism.
The larger rectangular prism has dimensions 32in x 16in x 15in.
Volume of larger rectangular prism = 32in x 16in x 15in = 7,680in^3
The smaller rectangular prism has dimensions 32in x 6in x 5in.
Volume of smaller rectangular prism = 32in x 6in x 5in = 960in^3
Therefore, the total volume of the composite figure is:
7,680in^3 - 960in^3 = 6,720in^3
As the answer choices are in yards cubed, we need to convert the volume to yards cubed:
1 yard = 36 inches
6,720in^3 = (6,720in^3) / (36in)^3 = 6,720 / 46,656 = 0.144 yd^3
Therefore, the closest answer choice is 5,070 yd^3.