Jamie wants to know the volume of his gold ring in cubic centimeters. He gets a rectangular glass with a base 3\text{ cm}3 cm3, start text, space, c, m, end text by 2\text{ cm}2 cm2, start text, space, c, m, end text and fills the glass 4 \text{ cm}4 cm4, start text, space, c, m, end text high with water. Jamie drops his gold ring in the glass and measures the new height of the water to be 4.25\text{ cm}4.25 cm4, point, 25, start text, space, c, m, end text.
Answers
Given:
The dimensions of the base of the rectangular glass:
Length = 3 cm
Breadth = 2 cm
Initial height of the water in the glass = 4 cm
New height of the water after dropping the gold ring = 4.25 cm
To find:
The volume of his gold ring in cubic centimeters
Solution:
Formula to be used:
We will find the volume of the gold ring that Jamie has by subtracting the volume of water inside the glass before dropping the ring from the volume of water after dropping the ring.
So,
The volume of water inside the rectangular glass before dropping the ring is given by,
= [Area of the base of the glass] × [Initial height of the water]
= [3 × 2] × 4
= 24 cm³
and
The volume of water inside the rectangular glass after dropping the ring is given by,
= [Area of the base of the glass] × [New height of the water]
= [3 × 2] × 4.25
= 25.5 cm³
Now,
The volume of the gold ring will be,
= [volume after dropping the ring] - [volume dropping the ring]
= [25.5 cm³] - [24 cm³]
= 1.5 cm³
Thus, the volume of his gold ring in cubic centimeters is 1.5 cm³.
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Answer:
1.5cm3
Step-by-step explanation: