HOTS
1. Evaluate : cuberoot1288 sqroot72 cuberoot27
2. Three numbers are in the ratio 2:3:4. The sum of their cubes is 33957. Find
numbers
Enrichment Questions
1.
2.
Find the cube root of 4741632 by estimation
Find the volume of a cube whose surface area is 150 m.
Answers
Answer:
Step-by-step explanation:
Let the numbers be 2x, 3x and 4x
sum of cubes = 33957
⇒(2x)³ + (3x)³ + (4x)³ = 33957
⇒8x³ + 27x³ + 64x³ = 33957
⇒99x³ = 33957
⇒x³ = 33957/99 = 343
⇒x = TSA of a cube= 6a2 Volume of cube = a3
150= 6a2 =(5)3
150/6= a2 =125 cm3
Sq: 0f 25= a
5= a
343 = 7
Numbers are:
2x = 2×7 = 14
3x = 3×7 = 21
4x = 4×7 = 28
Enrichment 3)
TSA of a cube= 6a2 Volume of cube = a3
150= 6a2 =(5)3
150/6= a2 =125 cm3
Sq: 0f 25= a
5= a