Volume of oblique prism

What is the volume of an oblique heptagonal prism with base area 45 cm2 and height 21 cm?

• 945 cm3

• 840 cm3

• 970 cm3

• 865 cm3

Find the volume of an oblique triangular prism if its base area is 10 cm2, the lateral edge

is 15 cm and the inclination angle is 45°.

• 58 cm3

• 75root2 cm3
  

• 55root3 cm3

• 82 cm3

A pentagonal oblique prism has a right section with area 24 mm2 and its lateral edge is

15 cm. Find the volume of the prism.

• 4.2 cm3

• 8 cm3

• 3.6 cm3
  

• 7.2 cm3

What is the area of the right section shaded in red in the

adjacent parallelepiped? The parallelepiped has only one

pair of parallelogram faces.

• 155sin20°

• 140sin20°

• 150cos10°

• 160cos10°
  

A square prism is inclined at 54°. The basal edge of the prism is 6 cm

and the lateral edge is 20 cm. Find the volume of the prism to the nearest

cubic centimeter by using two distinct formulas. (Use sin 54° = 0.8.)

• 576 cm3
  

• 478 cm3

• 476 cm3

• 482 cm3

The base of an oblique prism is a right triangle with legs 5 cm and

8 cm. If the 12 cm lateral edge of the prism makes a 60° angle with the

base, what is the volume of the prism?

• 110root2 cm3

• 120root3 cm3
  

• 100root3 cm3

• 110root3 cm3

Find the volume of the prism formed by the net at the

right

• 234 cm3

• 334 cm3

• 324 cm3
  

• 224 cm3

Find the angle of inclination of an equilateral

triangular oblique prism given that the base edge is 4 cm,

the lateral edge is 10 cm and the volume is 60 cm3? If so, find it.

• 50°
  

• 30°
  

• 45°
  

• 60°
  

What is the volume of the parallelepiped shown in the figure?

• 375 cm3
  

• 465 cm3

• 455 cm3

• 525 cm3