Surface Area and Volume

Base of a right angle pyramid is a square, length of diagonal of the base is 24√2 m. If the volume of the pyramid is 2880 cu.m, its height is-

Base of right prism is$6 {\mathrm{cm}}^2$. and its height is$7 \mathrm{cm}$ then volume_____.

The height of a right prism with a square base is $15 \mathrm{cm}$. If the area of the total surfaces of the prism is $608 \mathrm{sq}. \mathrm{cm}.$, its volume is:

The base of a pyramid is in the form of a square whose side is 16 cm. If its height is 12 cm, then what will be its volume (in cm³ )?

The volume of a rectangular block of stone is $10368 {\mathrm{dm}}^2$, its dimensions are in the ratio of $3 : 2 : 1$. If its entire surface is polished at $2$ paise per ${\mathrm{dm}}^2$, then what is the total cost(in rupees)?

On the top of a cubical box, a pyramid is placed, the base of the pyramid being the same as the top of the box, Height of the pyramid is twice the height of the box. Find the ratio of the volume of the combined body to that of the box.

If the side of a cube is increased by $100\%$, then by what percentage is the surface area of the cube increased?

The number of faces of the given pyramid are _____.

Find the number of faces of the given pyramid

Find the surface area of a prism given above whose base area is 12 square units, the base perimeter is 18 units and the height of the prism is 6 units.

The height and base of a square pyramid measure $8\mathrm{m}$ and $12\mathrm{m}$ respectively. Calculate its slant height.

Write the number of faces of a Hexagonal pyramid.

Write the number of edges of a Hexagonal pyramid.

The height and base radius of a circular cone measure $4 \mathrm{m}$ and $3 \mathrm{m}$ respectively. If the slant height is $\mathrm{k} \mathrm{m}.$Calculate the value of $\mathrm{k}$.

A rectangular prism is also called a cuboid.

State whether the following is true or false.

A pentagonal prism has $5$ pentagons.

State the weather the following is true or false.

A square prism is also called cuboid.

A number of faces in pentagonal prism are:

A hall is $15 \mathrm{m}$ long and $12 \mathrm{m}$ broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, the volume of the hall in $\mathrm{cu} \mathrm{m}$ is

Some bricks are arranged in a pile with volume $30\mathrm{cu} \mathrm{m}$. If the length, breadth and height of each brick is $25\mathrm{cm}$, $12.5\mathrm{cm}$ and $8\mathrm{cm}$ respectively, then in that pile the number of bricks are (Assume there is no gap in between two bricks)