Answer:
1920 cm^3
Step-by-step explanation:
Divide into the rectangular prism on top, and the one on the bottom. Whole = sum of parts, so you find the volumes of those two separately and add them together to get the total.
V of rectangular prism = l x w x h (length x width x height)
Top:
l = 10
w = 8
h = 14 - 10 = 4
10 x 8 x 4 = 320
Bottom:
l = 10 + 10 = 20
w = 8
h = 10
20 x 8 x 10 = 1600
1600 + 320 = 1920
The volume of the rectangular prism together with subparts is 1920 cubic meters.
The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
Divide into the rectangular prism on top, and the one on the bottom.
total volume = sum of parts, so we need to find the volumes of those two separately and add them together to get the total.
Top
l = 10
w = 8
h = 14 - 10 = 4
The volume of the rectangular prism = length x width x height
= 10 x 8 x 4 = 320
Bottom
l = 10 + 10 = 20
w = 8
h = 10
The volume of the rectangular prism = length x width x height
= 20 x 8 x 10 = 1600
The total volume of the shape = 1600 + 320 = 1920
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