Oblique Prism, Lateral Faces, Cylinders, Right 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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

Tags

CCSS.7.G.B.6

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

right

• 234 cm3

• 334 cm3

• 324 cm3
  

• 224 cm3

Tags

CCSS.7.G.B.6

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°
  

Tags

CCSS.7.G.B.6

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

• 375 cm3
  

• 465 cm3

• 455 cm3

• 525 cm3