04. The length of a cuboid is 16 m and its breadth and height are in ratio 3:2. If the
volume of the cuboid is 1536 cm", Find the breadth and height of the cuboid and the
total surface area of the cuboid.
Answers
Step-by-step explanation:
Let the breadth be 3x and length 2x.
So, volume of a cuboid = lbh.
16 × 3x × 2x = 1536
96x^2 = 1536
x^2 = 16
x = 4 cm
So, breadth = 12 cm and height = 8 cm.
Now, total surface area of a cuboid = 2(lb+bh+lh)
= 2((16 * 12) + (12 * 8) + (16 * 8))
= 2(192 + 96 + 128)
= 2(416)
= 832 cm^2.
Verification : lbh = 16 * 12 * 8 = 1536 cm^3
Hence verified!
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Answer:
Step-by-step explanation:
Let the breadth be 3x and length 2x.
So, volume of a cuboid = lbh.
16 × 3x × 2x = 1536
96x^2 = 1536
x^2 = 16
x = 4 cm
So, breadth = 12 cm and height = 8 cm.
Now, total surface area of a cuboid = 2(lb+bh+lh)
= 2((16 * 12) + (12 * 8) + (16 * 8))
= 2(192 + 96 + 128)
= 2(416)
= 832 cm^2.
Verification : lbh = 16 * 12 * 8 = 1536 cm^3
Hence verified!
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