Surface Area and Volume of 3-D Solids
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Q1
What is the surface area of a cuboid-shaped box whose length, breadth and height are 16 cm, 8 cm, and 6 cm respectively?
Marks:1View AnswerAnswer:
544 cm2
Explanation:
Total surface area of the box = 2(16
8 + 8 6 + 6 16) = 544 cm2 -
Q2
The length of cold storage is double its breadth. If its height is 3 m and the area of its four walls is 108 m2, then its length and breadth are:
Marks:1View AnswerAnswer:
12 m and 6 m respectively
Explanation:
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Q3
If each edge of a cube is 40 cm long, then its surface area (in inches) is (Use 2.5 cm = 1 inch)
Marks:1View AnswerAnswer:
1536 inches2
Explanation:
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Q4
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5√5 cm. Its surface area (in cm2) is
Marks:1View AnswerAnswer:
236 cm2
Explanation:
Let x cm, y cm and z cm be the length, breadth and depth of a cuboid respectively.
Therefore,
x + y + z = 19
x2 + y2 + z2 = (5√5)2
= 125.
Surface area of the cuboid
= 2(xy + yz + zx)
= (x + y + z )2 - (x2 + y2 + z2)
= 361 – 125
= 236 cm2 -
Q5
The total surface area of a cube whose side is 0.5 cm is
Marks:1View AnswerAnswer:
(3/2) cm2
Explanation:
Surface area of a cube of side 0.5 cm
= 6 x (0.5)2
= 6 x 0.25
= 1.50
= (3/2) cm2
