NCERT Solutions For Class 7 Science Chapter 15 : Visualizing Solid Shapes

NCERT Solutions for class 7 Mathematics Chapter 15 Visualizing Solid Shapes are provided in the article below. Plane shapes have two measurements like length and breadth which are called dimensions of a plane and therefore they are called two-dimensional shapes whereas a solid object has three measurements like length, breadth, height or depth. Hence, they are called three-dimensional shapes or 3-D shapes. Some of the important topics in this chapter include:

Download: NCERT Solutions for Class 7 Mathematics Chapter 15 pdf


NCERT Solutions for Class 7 Mathematics Chapter 15

NCERT Solutions for Class 7 Mathematics Chapter 15 Visualizing Solid Shapes are given below.

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Class 7 Maths Chapter 15 Visualising Solid Shapes – Important Topics

Three dimensional figure: Three-dimensional figures are those which consist of length, breadth and height.

Some of the important three dimensional figures include:

  • Cube
  • Cuboid
  • Cone
  • Cylinder
  • Pyramid

Volume of Cube – a3

Volume of Cuboid – length x breadth x height

Volume of Cone – 1/3 \(\pi\)r2h

Volume of Cylinder – \(\pi\)r2h


NCERT Solutions for Class 7 Maths Chapter 15 Exercises

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Exercises are given below.

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CBSE X Related Questions

  • 1.
    The first term of an AP is $p$ and the common difference is $q$, then its 10th term is :

      • $q - 9p$
      • $p - 9q$
      • $p + 9q$
      • $2p + 9q$

    • 2.
      A kite is flying at a height of \(60 \text{ m}\) above the ground level. Ravi, standing at the roof of the house is holding the string straight and observes the angle of elevation of kite as \(30^{\circ}\). From the bottom of the same building, the angle of elevation of kite is \(45^{\circ}\). Find the length of the string and height of roof from the ground. (Use \(\sqrt{3} = 1.73\))


        • 3.
          \(ABCD\) is a parallelogram such that \(AF = 7 \text{ cm}\), \(FB = 3 \text{ cm}\) and \(EF = 4 \text{ cm}\), length \(FD\) equals

            • \(\frac{21}{4} \text{ cm}\)
            • \(\frac{28}{3} \text{ cm}\)
            • \(\frac{12}{7} \text{ cm}\)
            • \(5.5 \text{ cm}\)

          • 4.
            If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).


              • 5.
                The natural number 1 is :

                  • a prime number.
                  • a composite number.
                  • prime as well as composite.
                  • neither prime nor composite.

                • 6.
                  If the quadratic equation \(9x^2 + 8kx + 16 = 0\) has real and equal roots, then the value of k is

                    • 3
                    • –3
                    • –4
                    • \(\pm 3\)

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