The base of a right pyramid is a square of side 8√2 cm and each of its slant edge is of length 10 cm. What is the volume (in cm3) of the pyramid?
A. 256
B. 96√2
C. $$426\frac{2}{3}$$
D. 224
Answer: Option A
Solution (By Examveda Team)
Length of each side = 8√2 cm
Diagonal = √2a
= √2 × 8√2
= 16
OC $$ = \frac{{\text{d}}}{2} = \frac{{16}}{2} = 8$$
Slant edge = EC = 10 cm
In ΔOEC
EC2 = OE2 + OC2
102 = OE2 + 82
OE2 = 62
Height = OE = 6 cm
Volume of the pyramid
= $$\frac{1}{3}$$ × Area of base × Height
= $$\frac{1}{3}$$ × (8√2)2 × 6
= 256
This Question Belongs to Arithmetic Ability >> Mensuration 3D
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B. 4.224 cm3
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D. 42.24 cm3
A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$
B. $${2^{\frac{2}{3}}}:1$$
C. $${4^{\frac{2}{3}}}:1$$
D. $${2^{\frac{1}{3}}}:1$$
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