Surface Area

Q.

Find the area of a quadrilateral whose diagonal is 50 m and perpendicular heights to the diagonal are 10 m and 20 m.

1. $750m^2$
2. $350m^2$
3. $450m^2$
4. $950m^2$

Q. The diagonals of a rhombus are in the ratio 2:3. Find the length of smaller diagonal, if the area of the rhombus is 27 $c{m}^2.$

1. 3 cm
2. 4 cm
3. 6 cm
4. 8 cm

Q. If the product of the diagonals of a rhombus is 48 cm², then find the area of rhombus.

1. 12 cm²
2. 24 cm²
3. 48 cm²
4. 96 cm²

Q. A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, then find its radius.

1. 16 cm
2. 14 cm
3. 18 cm
4. 20 cm

Q. If the lengths of two diagonals of a rhombus are 15 cm and 41.6 cm, then find its area.

1. 312 $c{m}^2$
2. 624 $c{m}^2$
3. 1248 $c{m}^2$
4. 156 $c{m}^2$

Q. In trapezium ABCD, AB || CD, AB = 7 cm, CD = 5 cm and EF = 4 cm. Find the area of trapezium ABCD.

1. 48 $c{m}^2$
2. 12 $c{m}^2$
3. 24 $c{m}^2$
4. 36 $c{m}^2$

Q. A tetrahedron has 4 vertices and 6 edges. Find the number of faces it has.

1. 10
2. 6
3. 4
4. 2

Q. In a trapezoid of area $20$, the two bases measure $4$ and $6$. What is the height of the trapezoid?

Q.

A polyhedron with 20 vertices and 30 faces has ___ edges.

1. 50

2. 46

3. 10

4. 48

Q. Find the area of the given hexagon $ABCDEF$ in which each side measures $5cm$, height $BE=11cm$ and width $FD=8cm$.

1. $44c{m}^2$
2. $64c{m}^2$
3. $34c{m}^2$
4. $66c{m}^2$

Q. The parallel sides of a trapezium are $8.4$ cm and $12.3$ cm. If its height is $7.2$ cm; then the value of its area is $74.52c{m}^2$
If true then enter $1$ and if false then enter $0$

Q.

A polyhedron with 20 vertices and 30 faces has ___ edges.

1. 10

2. 46

3. 50

4. 48

Q.

If a polyhedron has 8 faces and 14 vertices, then find the number of edges.

1. 20

2. 22

3. 23

4. 24

Q. The perimeter of a triangle with sides 7 cm, 8 cm, 9 cm is ___ .

1. 21 cm
2. 22 cm
3. 23 cm
4. 24 cm

Q. For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

1. $2(lb+bh+lh)$
2. $2h(b+l)$
3. $6a^2$
4. $4a^2$

Q. Each edge of a cube is increased by $50\%$, then percentage increase in its surface area =.

1. $125\%$
2. $110\%$
3. $150\%$

Q. The curved surface of a right circular cone is a sector of a circle.

1. True
2. False

Q. A concical tent has slant height of 14 m, and the curved surface area is 308 $m^2$. What is its base area?

1. 154

Q. From a sheet of 20 m$\times$10 m, 4 squares of side 2.5 m are cut out from the corners and made into a box.$\text{TSA}\mathrm{of}\mathrm{the}\mathrm{box}$ =

1. 175 m${}^2$
2. 100 m${}^2$
3. 150 m${}^2$

Q. What is the perimeter of a rectangle with dimensions 6 cm x 10 cm?

1. 30 cm
2. 32 cm
3. 34 cm
4. 36 cm