Cubes and Cube Roots Test

Result

Cubes and Cube Roots Test - 7

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

What is the least number by which 1565109 must be multiplied so that me product becomes a prefect cube?

A
11

B
12

C
13

D
14

Solution

1565109 = 9×173901 = 9 × 3 × 57967 = 9 × 3 × 13 × 4459 = 27 × 13² × 7³ = To make a cube, we need to multiply by 13.
Question 2
1 / -0

Find the smallest number by which 128625 must be divided so that the quotient will be a perfect cube.

A
2

B
3

C
5

D
6

Solution

128625 = 3 × 42875 = 3 × 7 × 6125 = 3 × 7 × 49 × 125 = 3 × 73 × 53 We divide by 3.
Question 3
1 / -0

Three numbers are in the ratio to one another 2:3:4 and the sum of their cubes is 33957. What are the numbers?

A
21, 14, 28

B
14, 21, 28

C
28, 14, 21

D
27, 15, 14

Solution

Let no. s be 2x,3x,4x (2x)³ + (3x)³ + (4x)³ = (8 + 27 + 64)x³ = 99x³ Also, 99x³ = 33957 x³ = 343 x = 7 Nos are 2 × 7, 3 × 7, 4 × 7.
Question 4
1 / -0

Find the volume of cube whose surface area 216 m².

A
216m³

B
200m³

C
210m³

D
262m³

Solution

S.A = 216 = 6a². ⇒a = 6 a³ = 6³ = 216.