Surface Area of Solid Shapes

Q. The sum of the areas of all the faces of a solid is called its _____________.

1. Total Surface Area
2. Lateral Surface Area
3. Curved suface Area
4. Volume

Q.

The radius of a spherical balloon increases from $7cm$ to $14cm$ as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.

Q.

What is the total surface area where the length is 20cm, breadth 15 cm, height 10 cm. without the top of the cuboid.

Q. The length, breadth and height of a cuboid are 2cm, 4cm and 3cm respectively. Then, its Lateral Surface Area is __________.

1. $36c{m}^2$
2. $40c{m}^2$
3. $28c{m}^2$
4. $24c{m}^2$

Q.

Find the cost of white washing the four walls of a cubical room of side 4 m at the rate of Rs 20/m².

Q. The total surface area of a cuboid is _____________________.

1. 2( lxb + bxh + lxh )
2. length x breadth x height
3. 2h(l + b)
4. ( lxb + bxh + lxh )

Q.

Raghu wants to make a closed aluminium cone for his science project. The slant height and radius of the cone are 10 cm and 7 cm respectively. Find the area of aluminium sheet required to make the cone.(Use $\pi =\frac{22}{7}$)

1. $267{cm}^2$

2. $258{cm}^2$

3. $374{cm}^2$

4. $400{cm}^2$

Q. Tick (✓) the correct answer:
The base of an isosceles triangle is 6 cm and its perimeter is 16 cm. Length of each of the equal sides is
(a) 4 cm
(b) 5 cm
(c) 3 cm
(d) 6 cm

Q.

A box has length, breadth and height of 10 cm, 20 cm and 5 cm respectively. The lateral surface area of the box is 200$c{m}^2$ .

1. 200 cm²

2. 100 cm²

Q.

A rectangular yard contains two flower beds in the shape of congruent isosceles right triangle. The remaining portion is a yard of trapezoidal shape (see fig). Whose parallel sides have lengths 15 m and 25 m. What fraction of the yard is occupied by the flower bed?

Q. Tick (✓) the correct answer:
The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm². The volume of the cuboid is
(a) 48 cm³
(b) 64 cm³
(c) 96 cm³
(d) 120 cm³

Q. Find the area of an equilateral triangle of side 6 cm.

Q. Match the following with their corresponding areas.

(TSA - Total Surface Area
LSA - Lateral Surface Area)

1. 2(lb + lh + bh)
2. 2h (l + b)
3. 6$l^2$

Q. A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal. How much sheet of metal (in square metres) is required?

1. 44
2. 444
3. 440

Q. Use Heron's formula to find the area of an equilateral triangle whose side is 'p'.

Q.

The base of an isosceles triangle is cm. The perimeter of the triangle is cm. What is the length of either of the remaining equal sides?

Q. If the sides of a triangle are 25 cm, 39 cm and 56 cm, what is its area?

Q. A flooring tile has the shape of a parallelogram whose base is $24$ cm and the corresponding height is $10$ cm. How many such tiles are required to cover a floor of area $1080$ sq. metre.

Q. _______ in a solid is the sum of the surface areas of all its faces excluding the base and top of the solid.

1. total surface area
2. lateral surface area
3. area
4. perimeter

Q. Perimeter of a square with side length l units is ___ .

1. l units
2. 2l units
3. 3l units
4. 4l units

Q. If the lengths of the sides of a triangular plot of land are 20 m, 21 m and 13 m, what is its area?

Q. If the side of an equilateral triangle is 12 cm, what is its area?

Q. If the sides of ∆ABC are 18 cm, 15 cm and 15 cm long, find its area.

Q. Match the following with their corresponding areas.

(TSA - Total Surface Area
LSA - Lateral Surface Area)

1. 2h (l + b)
2. 6$l^2$
3. 2(lb + lh + bh)

Q.

The radius and height of a right circular cone are in the ratio 3:4. Then the ratio of total surface area of the cone to its curved surface area is

1. $2:3$

2. $3:5$

3. $7:9$

4. $8:5$

Q. For the cube below,

Lateral Surface Area(LSA) =
Total Surface Area(TSA) =

1. $4a$
2. $6a^2$
3. $a^3$
4. $4a^2$

Q. Match the following with their corresponding areas.

(TSA - Total Surface Area
LSA - Lateral Surface Area)

1. 2h (l + b)
2. 2(lb + lh + bh)
3. 6$l^2$

Q. What will be the area of an equilateral triangle of side 30 cm?

Q. Rukhsar painted the outside of the cabinet of measure $1m\times 2m\times 1.5m$ . How much surface area did she cover if she painted all except the bottom of the cabinet?

Q. Mary is wrapping a can of paint to gift it to a friend. If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will be used?

1. $319inc{h}^2$
2. $354inc{h}^2$
3. $335inc{h}^2$
4. $289inc{h}^2$