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When the height of a cube is increased by 5 cm, the surface area of the cuboid is increased by 60 square cm. What is the volume of the cuboid?
When the height is increased by 5cm, four identical rectangles with a height of 5cm are added, so the area of a rectangle is 60 * 4 = 15cm2, and the edge length of a cube is 15g5 = 3cm. At this time, the length, width and height of the cuboid are 3cm, 3cm, 3 + 5 = 8cm, and the volume is 3 * 3 * 8 = 72cm3
Formula: 60 / 4 / 5 = 3cm
3 * 3 * (3 + 5) = 72 CC
The surface area and volume of the cuboid are (?) and (?) respectively
The surface area of the cuboid is (250 square centimeter) and the volume is (250 cubic centimeter)
Surface area: 5 × 5 × (6 × 2-2)
=25×10
=250 square centimeters
Volume: 5 × 5 × 5 × 2
=25×10
=250 CC
A cuboid, 5 cm longer, becomes a cube, and its surface area increases by 160 square cm. What is the volume of this cuboid______ Cubic centimeter
The width and height of the original cuboid are: 160 ／ 4 ／ 5 = 8 (CM), the length of the original cuboid is: 8-5 = (CM), 3 × 8 × 8 = 192 (cm3), answer: the volume of the original cuboid is 192 cm3. So the answer is: 192
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