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:1
    Answer:

    544 cm2

    Explanation:

    Total surface area of the box = 2(16 8 + 8 6 + 6 16) = 544 cm2

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  • 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:1
    Answer:

    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:1
    Answer:

    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:1
    Answer:

    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

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  • Q5

    The total surface area of a cube whose side is 0.5 cm is

    Marks:1
    Answer:

    (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

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