Volume and Capacity

Explain in detail about prism as solid figure and describe its shape and if a triangle prism is cut by a plane, parallel to the base, then find the shape of cross-section of prism.

The base of a pyramid is triangle.

The flat triangular faces of a pyramid, which join at a common point called the apex.

A pyramid has a polygonal base and $5$ flat triangular faces.

Does a prism have a uniform cross-section ?

The population of a village is $4000$. Each person in the village requires $150 \mathrm{litres}$ of water every day. There is a water tank in the village with length, breadth and height $20 \mathrm{m},15 \mathrm{m}$ and $6 \mathrm{m}$ respectively. If this tank is filled to the brim with water and the water requirement would be met in $k$ days, then find the value of $k$.

The height of the square prism with base $6 \mathrm{cm}$ and the area of one lateral face  $24 {\mathrm{cm}}^2$ is _____ cm

The total surface area of the triangular prism in which base is an equilateral triangle with side $a$ and height of the prism is equal to base is $\left(3+\frac{\sqrt{3}}{2}\right)a^2$

Cylinder is an example of prism.

A prism is a $3$-dimensional shape with two identical shapes facing each other.State true or false.

A triangular prism is a prism that has _____ as its base.

A prism is named after the shape of its base.

A prism is a solid figure whose base and _____ are congruent polygons.

A cuboidal vessel is $10 \mathrm{m}$ long, $8 \mathrm{m}$ wide and $h \mathrm{cm}$ high. What is the value of $h$ such that it can hold $380$ cubic metres of a liquid?

Volume of a cuboid is the product of area of bottom and height.

The side faces of a pyramid are

A hexagonal pyramid is $20 \mathrm{m}$ high. Side of the base is $5 \mathrm{m}$. The volume of the pyramid is