An 8 cm thick solid is in the form of a cuboid.If its length and breadth are in the ratio of 3:2 and its volume is 432 cubic cm,find the dimensions of the cuboid.
Answers
Answer:
Length of the cuboid is 9 cm and the breadth of the cuboid is 6 cm.
Step-by-step explanation:
Given :-
- A 8 cm thick solid is in the form of a cuboid.
- Its length and breadth are in the ratio of 3:2.
- Its volume is 432 cm³.
To find :-
- Dimensions of the cuboid.
Solution :-
Let the length of the cuboid be 3x cm and the breadth of the cuboid be 2x cm.
- Height of the cuboid = 8 cm
Formula used :
★ Volume of the cuboid is 432 cm³.
According to the question,
length×breadth × height = 432
→ 3x × 2x × 8 = 432
→ 6x² × 8 = 432
→ 6x² = 432/8
→ 6x² = 54
→ x² = 54/6
→ x² = 9
→ x = 3
Therefore,
- Length of the cuboid = 3×3 = 9 cm.
- Breadth of the cuboid = 2×3 = 6 cm.
Answer:
✡ Question ✡
➡ An 8 cm thick solid is in the form of a cuboid.If its length and breadth are in the ratio of 3:2 and its volume is 432 cubic cm,find the dimensions of the cuboid.
✡ Given ✡
➡ An 8 cm thick solid is in the form of a cuboid.
➡ Its length and breadth are in the ratio of 3:2 .
➡ Its volume is 432 cubic cm.
✡ To Find ✡
➡ The dimensions of the cuboid.
✡ Formula Used ✡
✡ Solution ✡
➡ Volume of the cuboid is 432 cm³.
▶ According to the question:-
Then,
✴ length × breadth × height = 432
=> 3x × 2x × 8 = 432
=> 6x² × 8 = 432
=> 6x² = 432/8
=> 6x² = 54
=> x² =
=> x² = 9
=> x =
☞ Length of the cuboid = 3×3 = 9 cm.
☞ Breadth of the cuboid = 2×3 = 6 cm.
Step-by-step explanation: