SURFACE AREAS AND VOLUMES Test

SURFACE AREAS AND VOLUMES

This is SURFACE AREAS AND VOLUMES Test-01 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The cost of painting a cubical box of side 3m at the rate of Rs.2 per sq.m is
  • A
    Rs.112
  • B
    Rs.108
    Correct
  • C
    Rs.125
  • D
    Rs.120
2
If two identical solid cubes of side ‘x’ are joined end to end, then the TSA of the resulting solid is
  • A
    15\({x^2}\)
  • B
    10\({x^2}\)
    Correct
  • C
    12\({x^2}\)
  • D
    \({x^2}\)
3
A solid cylinder of radius ‘r’ and height ‘h’ is placed over other cylinder of same height and radius. The total surface area of the shape so formed is
  • A
    \(2\pi rh + 2\pi {r^2}\)
  • B
    \(4\pi rh + 2\pi {r^2}\)
    Correct
  • C
    \(2\pi rh + 4\pi {r^2}\)
  • D
    \(4\pi rh + 4\pi {r^2}\)
4
If two solid hemispheres of same base radius ‘x’ cm are joined together along their bases, then the CSA of the new solid formed is
  • A
    \(5\pi {x^2}{\text{ }}c{m^2}\)
  • B
    \(6\pi {x^2}{\text{ }}c{m^2}\)
  • C
    \(8\pi {x^2}{\text{ }}c{m^2}\)
  • D
    \(4\pi {x^2}{\text{ }}c{m^2}\)
    Correct
5
If the surface area of the sphere is same as the CSA of a right circular cylinder whose height and diameter are 12cm each, then the radius of the sphere is
  • A
    8cm
  • B
    3cm
  • C
    12cm
  • D
    6cm
    Correct
6
A rectangular piece of paper is 44cm long and 18cm wide. If a cylinder is formed by rolling the paper along its length, then the radius of the base of the cylinder is
  • A
    22cm
  • B
    14cm
  • C
    7cm
    Correct
  • D
    21cm
7
The curved surface area of a right circular cylinder of radius 1cm and height 1cm is
  • A
    \(4\pi \) \(c{m^2}\)
  • B
    \(2\pi \) \(c{m^2}\)
    Correct
  • C
    \(\pi \) \(c{m^2}\)
  • D
    \(3\pi \) \(c{m^2}\)
8
The TSA of a solid cylinder whose radius is half of its height ‘h’ is equal to
  • A
    \(\frac{3}{2}\pi h{\text{ sq}}{\text{.units}}\)
  • B
    \(\frac{2}{3}\pi h{\text{ sq}}{\text{.units}}\)
  • C
    \(\frac{3}{2}\pi {h^2}{\text{ sq}}{\text{.units}}\)
    Correct
  • D
    \(\frac{2}{3}\pi {h^2}{\text{ sq}}{\text{.units}}\)
9
The CSA of a right circular cylinder whose base radius is ‘x’ units and height is ‘z’ units is
  • A
    \(2\pi xz{\text{ }}sq.units\)
    Correct
  • B
    \(\begin{array}{*{20}{l}} {2\pi {\text{ }}sq.units} \end{array}\)
  • C
    \(\begin{array}{*{20}{l}} {\pi {x^2}z{\text{ }}sq.units} \end{array}\)
  • D
    \(\begin{array}{*{20}{l}} {\pi xz{\text{ }}sq.units} \end{array}\)
10
If the radius of the sphere is 2cm, then its curved surface area is
  • A
    12\(\pi {\text{ }}c{m^2}\)
  • B
    \(16\pi {\text{ }}c{m^2}\)
    Correct
  • C
    \(8\pi {\text{ }}c{m^2}\)
  • D
    4\(\pi {\text{ }}c{m^2}\)
11
The TSA of a solid hemisphere of diameter 2cm is
  • A
    \(3\pi {\text{ }}c{m^2}\)
    Correct
  • B
    12\(\pi {\text{ }}c{m^2}\)
  • C
    \(8\pi {\text{ }}c{m^2}\)
  • D
    4\(\pi {\text{ }}c{m^2}\)
12
If the volume of a sphere is \(\frac{9}{{16}}\pi {\text{ }}c{m^3}\), then its radius is
  • A
    \(\frac{2}{3}{\text{ }}cm\)
  • B
    \(\frac{3}{2}{\text{ }}cm\)
  • C
    \(\frac{3}{4}cm\)
    Correct
  • D
    \(\frac{4}{3}{\text{ }}cm\)
13
If the surface area of a sphere is100π sq.cm, then its radius is
  • A
    5cm
    Correct
  • B
    100cm
  • C
    10cm
  • D
    25cm
14
If the TSA of a solid hemisphere is \(12\pi {\text{ }}sq.\) cm, then its CSA is
  • A
    \(\begin{array}{*{20}{l}} {24\pi {\text{ }}sq.{\text{ }}cm} \end{array}\)
  • B
    \(\begin{array}{*{20}{l}} {8\pi {\text{ }}sq.{\text{ }}cm} \end{array}\)
    Correct
  • C
    \(\begin{array}{*{20}{l}} {12\pi {\text{ }}sq.{\text{ }}cm} \end{array}\)
  • D
    \(16\pi {\text{ }}sq.{\text{ }}cm\)
15
Two right circular cones have equal radii. If their slant heights are in the ratio 4 : 3, then their respective surface areas are in the ratio
  • A
    3 : 4
  • B
    4 : 3
    Correct
  • C
    6 : 8
  • D
    16 : 9