1. If the length of each side of a regular tetrahedron is 6√2, then the volume of the tetrahedron is:
a) 36 cm³
b) 48 cm³
c) 72 cm³
d) 96 cm³

2. Each edge of a regular tetrahedron is 3√2. Then the volume of the tetrahedron is:
a) 6 cm³
b) 9 cm³
c) 12 cm³
d) 18 cm³

3. Each edge of a regular tetrahedron is 2√2. Its volume (in cubic cm) is:
a) 2
b) 4
c) 6
d) 8

4. The length of each edge of a regular tetrahedron is √2. Its volume (in cubic cm) is:
a) 1/6
b) 1/4
c) 1/3
d) 1/2

5. The length of each edge of a regular tetrahedron is 8 cm. The total surface area of the tetrahedron (in sq. cm) is:
a) 64√3
b) 128√3
c) 256√3
d) 192√3

6. A regular tetrahedron shaped crystal has each edge measuring 9√2 cm. A scientist needs to calculate the volume of the crystal to determine its density. Find the volume.
a) 216 cm³
b) 230 cm³
c) 243 cm³
d) 256 cm³

7. The total surface area of a regular tetrahedron shaped decorative piece is 72√3 cm². Find its volume.
a) 70 cm³
b) 71 cm³
c) 72 cm³
d) 73 cm³

8. Two regular tetrahedra P and Q have edges in the ratio 1 : 3. If the volume of tetrahedron P is 9 cm³, what is the volume of tetrahedron Q?
a) 243 cm³
b) 256 cm³
c) 270 cm³
d) 288 cm³

9. Each edge of a regular tetrahedron is 12√2 cm. Find the total surface area of the tetrahedron.
a) 246√3 cm²
b) 256√3 cm²
c) 276√3 cm²
d) 288√3 cm²

10. A regular tetrahedron has each edge of length 10√2 cm. Find its total surface area.
a) 180√3 cm²
b) 190√3 cm²
c) 200√3 cm²
d) 210√3 cm²
 

ANSWERS