Surface Areas and Volumes

IMPORTANT

Mathematics Solutions from Chapter -1 - Surface Areas and Volumes

This chapter discusses problems on finding surface areas and volumes of solids. We will also come across solids, which are a part of a cone known as frustums of a cone. Problems on surface areas and volumes of frustum are also provided.

Practice Other Topics from Surface Areas and Volumes

This topic covers the calculations for the surface area and volume of an object formed by combining any two basic solids, namely, cuboid, cone, cylinder, sphere and hemisphere. It defines and discusses formulas for the calculation of frustums.

Mathematics>Geometry>Surface Areas and Volumes>Surface Area of a Combination of Solids

In this topic, we will learn to find the surface area of solids, which are a combination of basic solids. For example, a circular tent consisting of a cylindrical base surmounted by a conical roof is a combination of two or more basic solids.

Mathematics>Geometry>Surface Areas and Volumes>Volume of a Combination of Solids

This topic teaches us how to find the volume of solids which are a combination of basic solids. For example, a circle tent consisting of a cylindrical base surmounted by a conical roof is a combination of two or more basic solids.

Mathematics>Geometry>Surface Areas and Volumes>Conversion of Solid from One Shape to Another

This topic discusses objects, which are converted from one shape to another. The basic rule is that the volume of an object does not change with the changes in its shape. We will learn this with help of examples.

In this topic, we will learn about a solid, which is a part of a pyramid when a plane parallel to the base of the cone cuts it. Such solid is called a frustum.

In this topic, we will learn about a solid, which is a part of a right circular cone when a plane parallel to the base of the cone cuts it. Such solid is called a frustum.