4. The volume of a cuboid whose length is
1 m, breadth 50 cm and height 35 cm is-
(A) 0.175 m3
(C) 0.0175 m3
(B) 17.5 cm3
(D) 1.75 m3
Answers
We have to find the volume of the cuboid here whose length, breadth and height is given.
- Length = 1 m = 100 cm
- Breadth = 50 cm = 0.5 m
- Height = 35 cm = 0.35 m
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Finding the volume of the cuboid by using formula:
- Volume of cuboid = l × b × h
In cm³
Plugging the given values in the above formula for finding the volume of the cube
⇛ Volume = 100 cm × 50 cm × 35 cm
⇛ Volume = (35 × 5) × 100 × 10 cm³
⇛ Volume = 175000 cm³
In m³
Now changing the units:
⇛ Volume = 1 m × 0.5 m × 0.35 m
⇛ Volume = 1 × 5/10 × 35/100 m³
⇛ Volume = 175/1000 m³
⇛ Volume = 0.175 m³
[Alternatively, you can directly convert the cm³ into m³ by dividing the volume by 10⁶ ]
According to given options, the correct answer should be Option A (0.175 m³).
Step-by-step explanation:
Given : -
- length is1 m,
- breadth 50 cm
- height 35 cm
To Find : -
- The volume of a cuboid
Solution : -
we have
volume of cuboid = l × b × h
1m = 100 cm
Volume = 100 cm × 50 cm × 35 cm
Volume = 175000 cm³
Now changing the units:
175000/ 100 = 1750 cm²
Now changing in cube:
Volume = 1750 / 10000
Volume = 0.175 m³
More information : -
- A cuboid is a three-dimensional shape with a length, width, and a height.
- The cuboid shape has six sides called faces. Each face of a cuboid is a rectangle, and all of a cuboid's corners (called vertices) are 90-degree angles.