# Lateral Surface Area of a Prism

## Trending Questions

**Q.**Question 8

If the length of the diagonal of a cube is 6√3 cm, then the length of the edge of the cube is 3 cm.

**Q.**The lateral surface area of a triangular prism having base as equilateral triangle of side 3cm and height 10 cm will be equal to

- 30 cm2
- 60 cm2
- 90 cm2
- 120 cm2

**Q.**

Two identical prisms with triangles as base are joined to form a rectangular prism as shown below.

What is the volume of the rectangular prism?

- 800 cm3
- 900 cm3
- 500 cm3
- 1000 cm3

**Q.**

The base of a prism is a rectangle with sides 3 cm and 4 cm respectively. The height of the prism is 10 cm. It is split vertically along a diagonal of the base into two triangular prisms. What is the total surface area of each of these triangular prisms?

100 cm2

120 cm2

130 cm2

132cm2

**Q.**The base perimeter and height of a rectangular prism is 28 m and 12 m respectively. Find LSA in m2.

- 336

**Q.**

The base of a prism is a right-angled triangle having base and altitude 3 and 4 cm respectively. The lateral surface area of the prism if the height of prism is 10 cm will be equal to_____

120cm2

80cm2

100cm2

140cm2

**Q.**

The base of a prism is a rectangle of sides 5 cm and 12 cm and its height is 20 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the lateral surface area of each of these triangular prisms?

200cm2

800cm2

400cm2

600cm2

**Q.**

A building in the shape of a square pyramid is covered with solar panels. The building has a slant height of $12$ feet and a base with side lengths of $15$ feet. The solar panels cost $\$70$ per square foot to install. How much does it cost to install enough solar panels to cover the entire surface of the building?

**Q.**

Two identical prisms with right triangles as the base are joined to form a rectangular prism. Each right triangle has a height of 29 m and base 15 m.

The rectangular prism has a height of 34 m. What is its lateral surface area?

- 2962 m2
- 2972 m2
- 2992 m2
- 2982 m2

**Q.**

A rectangular prism has a base perimeter of 28 m and height 12 m. What is its lateral surface area?

316 m2

346 m2

336 m2

326 m2

**Q.**

The length, breadth, and height of a room are $5m,4m,and3m$ respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of $Rs.10persqm.$

**Q.**

The base of a prism is a right-angled triangle having its base and altitude as 10 cm and 24 cm respectively. If the height of prism is 30 cm, what will be the lateral surface area ?

2400cm2

900cm2

1800cm2

1200cm2

**Q.**

An isosceles trapezoidal prism has a base area of 234 m2 and parallel sides of the base measure 12 m and 14 m. Find the altitude of the base of the prism.

- 15 m
- 16 m
- 18 m
- 17 m

**Q.**

A gateway is to be made of cardboard for a play set with dimensions as shown in the picture.

How much cardboard is needed for this?

- 131 m2
- 140 m2
- 150 m2
- 170 m2

**Q.**

Once Tom answered in and drove off to reach his destination – a building calledTheArchitecture.This building closely resembles a Rubik’s Cube, in the sense that the “rooms” of The Architecture are like the “cubes” of the Rubik’s Cube, as shown:

This building has 3 floors and each floor has 3 × 3 [read 3 by 3 – which means there are 3 rows and 3 columns] rooms which are all identical in size and shape.Tom stopped the car in front of the building.To enter this architecture, he should enter a passcode which is equal to the total number of rooms [cubes] in the building.

What is the passcode that Tom has to enter? ______ [Enter a numerical value]

**Q.**

The base of a prism is a rectangle with sides 4 cm and 6 cm respectively. If the height of the prism is 12 cm, the volume of the prism is :

298cm3

284cm3

288cm3

248cm3

**Q.**

The base of a prism is a quadrilateral of sides 5 cm, 7 cm, 2 cm and 10 cm respectively. If the height of the prism is 50 cm, then find the lateral surface area of the prism.

- 1100 cm2
- 1200 cm2
- 1300 cm2
- 1400 cm2

**Q.**The base of a prism is a right angled triangle with legs 6cm, 8cm and hypotenuse 10cm. If the total surface area of the prism is 156cm2, find its height and its lateral surface area.

**Q.**An isosceles trapezoidal prism has a base area of 234 m2 and parallel sides of the base measure 12 m and 14 m. Find the altitude of the base of the prism.

**Q.**Find the lateral and total surface area of a regular triangle right pyramid with base 4cm and slant height 7cm. Take √3≈1.73.

**Q.**The perimeter of a regular triangle based prism is 18m and its height is 13m. Find its lateral and total surface area.

**Q.**Find the lateral surface area and total surface area of an equilateral triangle based prism with height 8cm and base side 4cm.

**Q.**

**Q.**Find the lateral surface area and total surface area of square based prism with base edge 5cm and height 10cm.

**Q.**A rectangular prism has a base perimeter of 28 m and height 12 m. What is its lateral surface area (in m2)?

- 336

**Q.**

How do we find the volume of a triangular pyramid ?

**Q.**

A triangular prism of height 5 cm has a volume equal to 60 cm3. The base area of the prism is:

12cm2

15cm2

17cm2

20cm2

**Q.**The lateral surface area of square based prism is 384cm2 and its height is 12cm. Find the side-length of its base.

**Q.**A vertical column, 15 metre high, has a square base on aside of 20 cm. Find the cost (in )ofpaintingitsverticalsurfacesattherateof 2.25 per square metre?

**Q.**

A gateway is to be made of cardboard for a play set with dimensions as shown in the picture.

How much cardboard is needed for this?

- 131 m2
- 140 m2
- 150 m2
- 170 m2