Introduction

Q.

What is the volume of a right triangle?

Q.

The amount of space occupied by a three dimensional objects is called its lateral surface area.State with True or False.

1. True

2. False

Q. Find the volume of a cuboid whose
$\left(i\right).$ length$=12cm$, breadth $=8cm$, height=$6cm$

Q. The length, breadth and height of the cuboid are 5cm, 7cm and 3cm respectively, then the volume of the cuboid is .

1. $101c{m}^3$
2. $150c{m}^3$
3. $108c{m}^3$
4. $105c{m}^3$

Q. 2/3(2/3(2/3+2/3)+2/3(2/3))

Q.

Given $AB=3cm,AC=5cm$ and $\angle B={30}^{\circ }$, $\Delta ABC$ cannot be uniquely constructed, with $AC$ as base, why?

1. Two sides and included angle are given.
2. The vertex $A$ coincides with the vertex $C$.
3. The other two angles are not given.
4. The vertex $B$ cannot be uniquely located.

Q.

How many cubes will you remove from $3\times 3\times 3$ rubik's cube of side length 3cm to make it a $2\times 2\times 2$ cube. [3 MARKS]

Q. 21. Why a raised to a power of 0 is equal to 1 ?

Q. Which of the following is a polyhedron?

1. Cylinder
2. Cone
3. Square pyramid
4. Sphere

Q.

What are $2\mathrm{D}$ and $3\mathrm{D}$?

Q. Question 14
What is the sum of all the angles of a pentagon?
a) ${180}^{\circ }$
b) ${360}^{\circ }$
c) ${540}^{\circ }$
d) ${720}^{\circ }$

Q. Find the volume of a cuboid of l = 10 cm, b = 6 cm, and h = 12 cm.

1. 28 $c{m}^3$
2. 720 $c{m}^3$
3. 72 $c{m}^3$
4. 28 $c{m}^2$

Q. Question 15
What is the sum of all angles of a hexagon?
a) ${180}^{\circ }$
b) ${360}^{\circ }$
c) ${540}^{\circ }$
d) ${720}^{\circ }$

Q.

In ∆ABC, which of the following information is needed to construct it if it is known that measure of ∠B = 60^o and BC = 6 cm.

1. AB + BC

2. BC + CA

3. CA + AB

4. All of the these

Q.

Using which of the given measurements, a unique triangle can be constructed?

1. SSS

2. AAS

3. ASS

4. AAA

Q. 17. (1000)whose power 1000÷ (200)whose power is 200

Q. Find the value of the following

$a\left)\right[5(8^{\frac{1}{3}}+{27}^{\frac{1}{3}}{)}^3{]}^{\frac{1}{4}}$

$b\left)\right(0.000064{)}^{\frac{5}{4}}\times (0.04{)}^{\frac{5}{4}}$ [4 MARKS]

Q.

Which $3-D$ solid has no edge?

Q.

_____________ is a $3$-D solid having no edge.

Q. A scalene triangle can be constructed if the base and the altitude of the required triangle is given.

1. False
2. True

Q. 44 If x= 1-2 , then find the value of (x-1/x) whole case to the power 3

Q. If 125 power x minus 1 is equal equal to 5 power 3 X - 2 - 500

Q.

Write the number of faces, vertices and number of edges in the sphere.

Q.

Statement 1: If two figures A and B are congruent, then they must have equal area.

Statement 2: If two figures A and B have equal area, then they must be congruent.

1. Both the statements are correct
2. Both the statements are incorrect
3. Statement 1 is incorrect and statement 2 is correct
4. Statement 1 is correct but statement 2 is incorrect

Q.

Diagonals AC and BD of a trapezium ABCD with AB $\parallel$ DC intersect each other at O.then, ar ($△$AOD) = ___.

1. Area ($△$BOD)

2. Area ($△$AOD)

3. None of the above

4. Area ($△$BOC)

Q.

How many number of square face and triangle face are there in a square pyramid?

Q. The given $2$-D structure can be folded to form a polyhedron.

1. False
2. True

Q.

In the above question, which of the following geometrical figures would help you in solving the problem?

1. Perpendicular bisector

2. Line

3. Arc(part of a circle)

4. Line segment

Q. Volume is the space occupied by a object.

1. 2-D
2. 3-D
3. 4-D

Q. Solve the linear equation:
$15-6z=19-6z$.

1. All real numbers
2. $\frac{-2}{3}$
3. An empty set
4. $\frac{1}{3}$