The volume of a triangular prism is $200$ $c m^{3}$ and the area of the end face is $15$ $c m^{2}$ . How long is the prism?

10.33

No worries! We‘ve got your back. Try BYJU‘S free classes today!

11.33

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12.33

No worries! We‘ve got your back. Try BYJU‘S free classes today!

13.33

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $13.33$ cm
Volume $=$ End face area $\times L$
$200 = 15 \times L$
$L = \frac{200}{15} = 13.33 c m$

Suggest Corrections

Similar questions

Q. The area of the rectangular face of a uniform triangular prism is

60 c m^{2}

and the perimeter of the triangular faces is

18 c m

. What is the volume of the prism in

c m^{3}

Find the volume of triangular prism whose base area is $20 c m^{2}$ and height is 15 cm.

The base area of a prism is $40 c m^{2}$ . What would be the height of the prism if its volume = $200 c m^{3}$ ?

The base of a prism is a rectangle of sides 5 cm and 12 cm and its height is 20 cm. It is split vertically along the diagonal of the base into two triangular prisms. What is the lateral surface area of each of these triangular prisms?

Q. The base of a prism is triangular in shape with sides

3

cm,

4

cm and

5

cm. Find the volume of the prism if its height is

10

cm.

Join BYJU'S Learning Program

The volume of a triangular prism is 200 cm3 and the area of the end face is 15 cm2. How long is the prism?

The correct option is D 13.33 cmVolume = End face area×L200=15×LL=20015=13.33 cm

The volume of a triangular prism is $200$ $c m^{3}$ and the area of the end face is $15$ $c m^{2}$ . How long is the prism?

The correct option is D $13.33$ cm
Volume $=$ End face area $\times L$
$200 = 15 \times L$
$L = \frac{200}{15} = 13.33 c m$