How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?
(a) 10
(b) 100
(c) 1000
(d) 10000
Solution:
The volume of cubical box of 2 m edge will be = 2 × 2 × 2 = 8m³ = 8 × 10⁶ cm³
The volume of small cubes with 20 cm edge = 20 × 20 × 20 = 8000 cm³
The number of small cubes that can be accomodated = 8 × 10⁶/8000 = 1000 boxes
Answer is choice (d)
✦ Try This: How many small cubes with edge of 25 cm each can be just accommodated in a cubical box of 5 m edge? (a) 4000, (b) 2000, (c) 8000, (d) 10000
The volume of cubical box of 5 m edge will be = 5 × 5 × 5 = 125m³ = 125 × 10⁶ cm³
The volume of small cubes with 20 cm edge = 25 × 25 × 25 = 15625 cm³
The number of small cubes that can be accomodated = 125 × 10⁶ cm³/15625 = 8000 boxes
Answer is choice ©
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11
NCERT Exemplar Class 8 Maths Chapter 11 Problem 13
How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge? (a) 10 (b) 100 (c) 1000 (d) 10000
Summary:
1000 cubes with an edge of 20 cm each can be just accommodated in a cubical box of 2 m edge
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