GSE GEOMETRY B ACCELERATED
WEEK 2 2024-2025 EXAM WITH
ACTUAL CORRECT Q & A ALREADY
GRADED A+
Lesson 2.1 Volume of Prisms
and Cylinders
GSE Geometry B Accelerated Week 2 Page 1 of 44
,Volume of a prism: the volume of a prism is the product of
the area of the base (B) and the height ( h).
V = Bh
Find the volume of the prism.
V = Bh
V = (20)(6)
V = 120 yd3
Let’s consider the 5 yard x 4
yard rectangle as the base.
A = lw
B = 5(4) = 20 yd2
Find the volume of the prism.
V = Bh
The base is the right triangle with
V = (24)(4) legs of 6 km and 8 km.
V = 96 km3 A = ½ bh
B = (1/2)(6)(8) = 24 km2
Find the height of a prism that has a volume of 36 in3 and the area of the base is 12
in2.
V = Bh Volume formula
36 = 12h Substitution
3=h Divide by 12
The height is 3 inches.
GSE Geometry B Accelerated Week 2 Page 2 of 44
,Volume of a cylinder: the volume of a cylinder is the product of the area of
the base ( 2
B or πr ) and the height (h).
V = π r 2h
Find the volume of the cylinder. Round to the nearest hundredths.
V = πr 2h
V = π(3)2(6)
V = 54π
V ≈ 169.65 cm3
Find the radius of a cylinder that has a volume of 791.68 in3 and a height of 7 in.
V = πr 2h Volume formula
791.68 = πr 2 (7) Substitution
36 = r2 Divide by 7π
6=r Square root
The radius is 6 in.
Now Try These
Find the volume of the prism.
GSE Geometry B Accelerated Week 2 Page 3 of 44
, a) b)
c) A prism has a rectangular base with a length of 12 cm. The height of the prism is 4 cm and the
volume of the prism is 240 cm3. Find the width of the rectangular base.
Answers: a)
378 in3
b) 220 ft3
c) 5 cm
GSE Geometry B Accelerated Week 2 Page 4 of 44
WEEK 2 2024-2025 EXAM WITH
ACTUAL CORRECT Q & A ALREADY
GRADED A+
Lesson 2.1 Volume of Prisms
and Cylinders
GSE Geometry B Accelerated Week 2 Page 1 of 44
,Volume of a prism: the volume of a prism is the product of
the area of the base (B) and the height ( h).
V = Bh
Find the volume of the prism.
V = Bh
V = (20)(6)
V = 120 yd3
Let’s consider the 5 yard x 4
yard rectangle as the base.
A = lw
B = 5(4) = 20 yd2
Find the volume of the prism.
V = Bh
The base is the right triangle with
V = (24)(4) legs of 6 km and 8 km.
V = 96 km3 A = ½ bh
B = (1/2)(6)(8) = 24 km2
Find the height of a prism that has a volume of 36 in3 and the area of the base is 12
in2.
V = Bh Volume formula
36 = 12h Substitution
3=h Divide by 12
The height is 3 inches.
GSE Geometry B Accelerated Week 2 Page 2 of 44
,Volume of a cylinder: the volume of a cylinder is the product of the area of
the base ( 2
B or πr ) and the height (h).
V = π r 2h
Find the volume of the cylinder. Round to the nearest hundredths.
V = πr 2h
V = π(3)2(6)
V = 54π
V ≈ 169.65 cm3
Find the radius of a cylinder that has a volume of 791.68 in3 and a height of 7 in.
V = πr 2h Volume formula
791.68 = πr 2 (7) Substitution
36 = r2 Divide by 7π
6=r Square root
The radius is 6 in.
Now Try These
Find the volume of the prism.
GSE Geometry B Accelerated Week 2 Page 3 of 44
, a) b)
c) A prism has a rectangular base with a length of 12 cm. The height of the prism is 4 cm and the
volume of the prism is 240 cm3. Find the width of the rectangular base.
Answers: a)
378 in3
b) 220 ft3
c) 5 cm
GSE Geometry B Accelerated Week 2 Page 4 of 44
