cylinder with radius 8 cm and height 9 cm
is surmounted by a 15 cm high cone. Find
the surface area and the volume of the
is
А
combined solid.
Answers
Answer:
Volume of each cube = 64 cm3 ∴ Total volume of the two cubes = 2 × 64 cm3 = 128 cm3 Let the edge of each cube = x ∴ x3 = 64 = 43 ∴ x = 4 cm Now, Length of the resulting cuboid l = 2x cm Breadth of the resulting cuboid b = x cm Height of the resulting cuboid h = x cm ∴ Surface area of the cuboid = 2 (lb + bh + hl) = 2[(2x . x) + (x . x) + (x . 2x)] = 2[(2 × 4 × 4) + (4 × 4) + (4 × 2 × 4)] cm2 = 2 [32 + 16 + 32] cm2 = 2[80] cm2 = 160 cm2.
Step-by-step explanation:
Volume of each cube = 64 cm3 ∴ Total volume of the two cubes = 2 × 64 cm3 = 128 cm3 Let the edge of each cube = x ∴ x3 = 64 = 43 ∴ x = 4 cm Now, Length of the resulting cuboid l = 2x cm Breadth of the resulting cuboid b = x cm Height of the resulting cuboid h = x cm ∴ Surface area of the cuboid = 2 (lb + bh + hl) = 2[(2x . x) + (x . x) + (x . 2x)] = 2[(2 × 4 × 4) + (4 × 4) + (4 × 2 × 4)] cm2 = 2 [32 + 16 + 32] cm2 = 2[80] cm2 = 160 cm2.
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