Question

The three faces A, B, C having a common vertex of a cuboid have areas 450 sq. cm, 600 sq. cm and 300 sq. cm respectively. Find the volume of the cuboid​

Answer 1

Answer:

use the formula of cuboid

2( lb+bh+hl)

Answer 2

Volume of cuboid is 9000 cubic centimeter

Solution:

Given that,

The three faces A, B, C having a common vertex of a cuboid have areas 450 sq. cm, 600 sq. cm and 300 sq. cm respectively

lb = 450 sq. cm

bh = 600 sq. cm

lh = 300 sq. cm

Where, "l" is the length and "b" is the breadth and "h" is the height

Multiply above,

$lb \times bh \times lh = 450 \times 600 \times 300\\\\(lbh)^2 = 81000000\\\\Take\ square\ root\ on\ both\ sides\\\\lbh = 9000$

We know that,

$Volume\ of\ cuboid = l \times b \times h$

Thus, volume of cuboid is 9000 cubic centimeter

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