Lateral Surface Area of a Prism

Q. Question 8
If the length of the diagonal of a cube is $6\sqrt{3}cm$, 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

1. $30c{m}^2$
2. $60c{m}^2$
3. $90c{m}^2$
4. $120c{m}^2$

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?

1. 800 $c{m}^3$
2. 900 $c{m}^3$
3. 500 $c{m}^3$
4. 1000 $c{m}^3$

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?

1. 100 $c{m}^2$

2. 120 $c{m}^2$

3. 130 $c{m}^2$

4. 132$c{m}^2$

Q. The base perimeter and height of a rectangular prism is 28 m and 12 m respectively. Find LSA in $m^2$.

1. 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_____

1. $120c{m}^2$
   

2. $80c{m}^2$
   

3. $100c{m}^2$

4. $140c{m}^2$
   

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?

1. $200c{m}^2$

2. $800c{m}^2$

3. $400c{m}^2$

4. $600c{m}^2$

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?

1. 2962 m${}^2$
2. 2972 m${}^2$
3. 2992 m${}^2$
4. 2982 m${}^2$

Q.

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

1. $316m^2$

2. $346m^2$

3. $336m^2$

4. $326m^2$

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 ?

1. $2400c{m}^2$
   

2. $900c{m}^2$
   

3. $1800c{m}^2$
   

4. $1200c{m}^2$

Q.

An isosceles trapezoidal prism has a base area of $234m^2$ and parallel sides of the base measure 12 m and 14 m. Find the altitude of the base of the prism.

1. 15 m
2. 16 m
3. 18 m
4. 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?

1. 131 $m^2$
2. 140 $m^2$
3. 150 $m^2$
4. 170 $m^2$

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 $\times$ 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 :

1. $298c{m}^3$

2. $284c{m}^3$

3. $288c{m}^3$

4. $248c{m}^3$

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.

1. 1100 $c{m}^2$
2. 1200 $c{m}^2$
3. 1300 $c{m}^2$
4. 1400 $c{m}^2$

Q. The base of a prism is a right angled triangle with legs $6$cm, $8$cm and hypotenuse $10$cm. If the total surface area of the prism is $156c{m}^2$, find its height and its lateral surface area.

Q. An isosceles trapezoidal prism has a base area of $234m^2$ 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 $4$cm and slant height $7$cm. Take $\sqrt{3}\approx 1.73$.

Q. The perimeter of a regular triangle based prism is $18$m and its height is $13$m. 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 $8$cm and base side $4$cm.

Q. Find the total surface area (in sq. inches) of the prism.

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

Q. A rectangular prism has a base perimeter of 28 m and height 12 m. What is its lateral surface area (in $m^2$)?

1. 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 $60c{m}^3$. The base area of the prism is:

1. $12c{m}^2$

2. $15c{m}^2$

3. $17c{m}^2$

4. $20c{m}^2$

Q. The lateral surface area of square based prism is $384c{m}^2$ and its height is $12$cm. 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?

1. 131 $m^2$
2. 140 $m^2$
3. 150 $m^2$
4. 170 $m^2$