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The altitude of the regular quadrilateral prism is h=13 cm and lateral area is AL = 624 cm2. Find: 1) The Surface Area of the prism; 2) The Volume of the prism.
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Nov 12, 2019
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The altitude of the regular quadrilateral prism is h=13 cm and lateral area is AL = 624 cm2. Find: 1) The Surface Area of the prism; 2) The Volume of the prism.
Mathematics
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Fallanic
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The true answer is that the surface area is 912 square centimeters, and the volume is 1872 cm cubed
Zac Faragher
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Nov 13, 2019
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Zac Faragher
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a]
AL=2(L×h) 624 cm²
2(L×13)=624
L=624/26
Thus
L=24 cm
Since the prism is regular, the bases are squares, W=H=13 cm
thus:
SA=2(L×W)+AL
SA=2(24×13)+624
SA=624+624
SA=1248 cm²
Volume=length*width*height
Volume=24×13×13
Volume=4056 cm³
LukeP
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Nov 17, 2019
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LukeP
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