    Question

# A piece of cheese needs to be covered in a paper of area 120 sq cm as shown in the below figure. Find the possible height of the triangular face of the pyramid. A
5 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
7 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
6 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 7 cmIt is given that, total surface area of the square pyramid = 120 sq cm This pyramid contains one square base and 4 triangular faces. Base area = side × side Side of the square = 6 cm Base area = 6 × 6 = 36 sq cm Total surface area = Base area + 4 × area of one triangular face Area of triangular face = 12× base × height Base of the triangle = 6 cm Let, the height of the triangle = h Total surface area = Base area + 4 × area of one triangular face 120 = 36 + 4 × 12× 6 × h 120 - 36 = 12h 84 = 12h h = 8412 = 7 cm Hence, the possible height of the pyramid = 7 cm  Suggest Corrections  0      Similar questions  Explore more