The given figure is the lateral face of a square pyramid. $AB=AC=25$ centimeters and $BD=DC=15$ centimeters. What is the length of its base edge? [Take $\sqrt{2}=1.414$]

The perimeter of the base of a square pyramid is $96 \mathrm{cm}$ and its height is $16 \mathrm{cm}$. What is the slant height?

The picture shows the shape of a boiler. Total height of the boiler is $12$ metres and the diameter is $6$ meters, height of the cylindrical part is $6$ meters.

What is the height of the cone?

The picture shows the shape of a boiler. Total height of the boiler is $12$ metres and the diameter is $6$ meters, height of the cylindrical part is $6$ meters.

How many litres can the boiler hold ?

($1 m^3=1000$ litre)

The given figure is the lateral face of a square pyramid. $AB=AC=25$ centimeters and $BD=DC=15$ centimeters. What is the length of its base edge? [Take $\sqrt{2}=1.414$]

The given figure is the lateral face of a square pyramid. $AB=AC=25$ centimeters and $BD=DC=15$ centimeters

Find the lateral surface area of the pyramid.

Radius of a cylinder is equal to its height. If the radius is taken as ‘$r$’, the volume of the cylinder is $\mathrm{\pi }{r}^2\times r=\mathrm{\pi }{r}^3$. Like this find the volumes of the solids, with the following measures.

What is the ratio of the volumes of the cone, hemisphere, cylinder and the sphere?

Radius of a cylinder is equal to its height. If the radius is taken as ‘$r$’, the volume of the cylinder is $\mathrm{\pi }{r}^2\times r=\mathrm{\pi }{r}^3$. Like this find the volumes of the solids, with the following measures.

A solid metal sphere of radius $6 \mathrm{cm}$ is melted and recast into solid cones of radius $6 \mathrm{cm}$ and height $6 \mathrm{cm}$. Find the number of cones.

The figure of a square sheet paper is shown below. Length of one side of the paper sheet is $36 \mathrm{cm}$ and $AB=10 \mathrm{cm}$. The shaded portion is cut out and folded into a square pyramid. If the length of the base of the pyramid is $k \mathrm{cm}$, find $k$.