2 Similar Cups are 3cm&5cm deep,if larger Cup holds 625cm cube of water,find smaller cup Volume
the volume changes as the cube of the linear scale factor.
So, the smaller cup's volume is (3/5)^3 = 27/125 of the larger cup's.
...
V = 625 * 3/5 =
5cm=625cm³
1cm=625÷5=125cm³
: . 3cm=125 × 3=375cm³...Ans
So the answer is 375cm cube yeah?
To find the volume of the smaller cup, you can use the concept of similar shapes. Since the cups are similar, the ratios of their corresponding dimensions are the same.
Let's set up a proportion to find the volume of the smaller cup:
(3 cm / 5 cm) = (V_small / 625 cm³)
The volume of the larger cup is 625 cm³, and its depth is 5 cm. The depth of the smaller cup is 3 cm, and we need to find its volume, which we'll call V_small.
Using cross multiplication, we can solve for V_small:
(3 cm) * (625 cm³) = (5 cm) * (V_small)
1875 cm³ = 5 cm * V_small
Dividing both sides of the equation by 5 cm:
V_small = 1875 cm³ / 5 cm
V_small = 375 cm³
Therefore, the volume of the smaller cup is 375 cm³.