The Volume of a rectangular prism is 400 cubic cm. If it's width measures 5. cm and its height is 10cm, what is the length?​

Sagot :

Answer:

To solve this problem for the height h, we first need the formula for the volume V of a rectangular solid (box):

Volume V = lwh, where l is the length, w is the width, and h is the height of the rectangular solid.

We are given that the volume V = 650 cm³, length l = 10 cm, and width w = 5 cm.

Now, to solve for the height h of the rectangular solid, we simply substitute the given information into the formula for volume V and then perform the necessary calculations and algebraic simplifications as follows:

V = lwh

650 cm³ = (10 cm)(5 cm)(h)

650 cm³ = (50 cm²)(h)

650 cm³/50 cm² = [(50 cm²)(h)]/(50 cm²)

13 cm = h

Height h = 13 cm

Check:

V = lwh

650 cm³ = (10 cm)(5 cm)(13 cm)

650 cm³ = 650 cm³