A rectangular pyramid fits exactly on top a rectangular prism. Find the volume of the composite square figure if the prism has length, 17cm, width 5cm, height 11 cm and the pyramid has a height of 12 cm. WORTH 50 POINTS WORTH 50 POINTS WORTH 50 POINTS
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I don't know the answer as I don't have this sum. sorry
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Answer:
Volume of composite space = 1275 cm³
Step-by-step explanation:
Missing point in question:-Find Volume of composite space?
For Prism,
Length l = 17 cm
Width w = 5 cm
Height h = 11 cm
As Rectangular pyramid fits exactly on top of the prism, length and width of prism is same for the base of the pyramid.
for Pyramid
Length l = 17 cm
width w = 5 cm
height h = 12 cm
Volume of composite space = Volume of prism + Volume of Pyramid
Volume of Prism Vpr = l × w × h
∴ Vpr = 17 × 5 × 11
∴ Vpr = 935 cm³ ....(1)
Volume of rectangular Pyramid Vpy = (l×w×h) / 3
∴ Vpy = (17 × 5 × 12) ÷ 3
∴ Vpy = 340 cm³ ....(2)
From 1 and 2, Volume of composite space,
V = Vpr + Vpy
∴ V = 935 + 340 = 1275
∴ V = 1275 cm³
Plz mark brainiest !!!
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