Question
The ratio of a closed cuboid's length, width, and height
is 4: 3: 3. The total surface area of this cuboid is 1056 cm 2 . Find the volume (in cm 3 ) of this cuboid.Solution
The ratio of the l, b, and h = 4:3:3 l = 4x b = 3x h = 3x Surface area of cuboid = 2(lb +bh +hl) 1056 = 2(12x2+9x2+12x2) 528 = 33x2 x2 = 16 x = 4 So now the volume of the cuboid = 36×64=2304 cubic cm
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