R.K. Singh Solutions for Chapter: Prism & Pyramid, Exercise 1: Model Questions

Ratios between the no. of sides and each interior angles for two regular polygons are $5: 6$ and $24: 25$ respectively. Then what are the no. of sides of those polygons?

The base of a right prism is a trapezium. The parallel sides are $8 \mathrm{cm}$ & $14 \mathrm{cm}$ long. If the distance between both the parallel sides is $8 \mathrm{cm}$ & Volume of this prism is $1056{ \mathrm{cm}}^3$ then height is :-

If base of a right pyramid is a square of side $40 \mathrm{cm}$. If volume of the pyramid is $8000{ \mathrm{cm}}^3$ then height of the pyramid is-

If each interior angle of a regular polygon is double of it's exterior angle then no. of sides is

If the base of a right pyramid is a square of side $16 \mathrm{cm}$ long. If it's height is $15 \mathrm{cm}$ then the lateral surface area of the prism will-

If the base of a solid pyramid is a square of each side $16 \mathrm{cm}$ long. If it's height is $12 \mathrm{cm}$ then it's volume in ${\mathrm{cm}}^3$ will be-

The base of a prism is a triangle of sides $5 \mathrm{cm},12 \mathrm{cm} \&13 \mathrm{cm}$ long. What will be the total surface area of this prism if it's height is $10 \mathrm{cm}$.

The base of a pyramid is a hexagon. If each side of this hexagon is $4\sqrt{3} \mathrm{cm}$ long and height of the pyramid is $12 \mathrm{cm}$ then it's volume in ${\mathrm{cm}}^3$ is -