Volume of Rectangular Prisms
SA of Rectangular Prisms
Volume of Triangular Prisms
SA of Triangular Prisms
SA & Volume of Cylinders
100
What is the volume of a shape with a length of 6 cm, a width of 5 cm, and a height of 4 cm?
V=lwh
V= (6 cm)(5 cm)(4 cm)
V= 120 cm3
100
A rectangular prism has a height of 5 centimeters, a length of 7 centimeters, and a width of 3 centimeters. What is the surface area?
SA = 2(7cm)(5cm) + 2(7cm)(3cm) + 2(3cm)(5cm)
SA = 142 cm2
Find the area of all the faces and add all the areas to find SA.
100
A triangular prism has a triangular face that has a height of 5cm and a base of 3cm. The length of this prism is 20cm. How much volume does this prism have?
V = (Area of triangle base)(Length)
V = [2(3cm)(5cm)][20cm]
2
V = 300cm3
100
Find the Surface Area.
222 cm2
100
What are the 2 shapes that make up a cylinder?
Circle and Rectangle
200
The measurements of a cereal box is 10 inches tall, 8 inches long, and 3 inches wide. Find the volume.
V = lwh
V = (8 in)(3 in)(10 in)
V = 240 in3
200
A cheez-it box has a length of 9 units, a width of 6 units, and a height of 4 units. Find the surface area.
SA = 2(9units)(6units) + 2(4units)(6units) + 2(9units)(4units)
SA = 228 cm2
Find the area of each face and add all the areas together to find surface area.
200
In a triangular prism, if the area of the triangle base is 12 cm2 and the prism has a length of 10 cm, what is the prism's volume?
V = (Area of triangle base)(Length)
V = (12cm2)(10cm)
V = 120cm3
200
Find the surface area of this triangular prism:
SA = 2(6cm)(4cm) + 2(12cm)(7cm) + (12cm)(4cm)
2
SA = 240 cm2
Find the area of each face and add all the areas together to find surface area.
200
What is the volume of a cylinder with radius of 5in and a height of 10in?
V = (pi)r2h
V = (3.14)(5in)2(10in)
V = 785 in3
300
Find the volume of a figure with a length of 13 in, a height of 12 in, and a width of 27 in.
V = lwh
V = (13in)(27in)(12in)
V = 4212 in3
300
What is the surface area of this prism?
SA = 2(13in)(9in) + 2(2in)(13in) + 2(2in)(9in)
SA = 322 in2
Find the area of each face and add all the areas to find surface area.
300
Find the volume of this triangular prism:
V = (Area of triangle base)(Length)
V = [2(10cm)(12cm)][24cm]
2
V = 2880 cm3
300
Find the surface area of this triangular prism:
SA = 2(10cm)(12cm) + (10cm)(24cm)
2
+ 2(13cm)(24cm)
SA = 984 cm2
300
Find the surface area of a cylinder with radius = 5 in and height = 6.6 in.
SA = 2(pi)r2 + 2(pi)rh
SA = 2(3.14)(5in)2 + 2(3.14)(5in)(6.6in)
SA = 364.24in2
400
Ms. K was trying to find the volume of a rectangular prism with a length of 8m, height of 5m, and width of 17m but she got the wrong answer.
V= lwh
V= (8m)(17m)(5m)
V = 680 m2
What did she do wrong? What is the correct answer?
She wrote the wrong units.
The correct answer is 680 m3.
400
Find the surface area of this rectangular prism:
SA = 2(11mm)(5mm) + 2(5mm)(4mm) + 2(11mm)(4mm)
SA = 238 mm2
Find the area of each face and add all the areas to find surface area.
400
What is the volume of this prism?
V = (Area of triangle base)(length)
V = [2(9cm)(12cm)][18cm]
2
V = 1944 cm3
400
What is the surface area of this triangular prism?
20 mi2
400
A cylinder has a diameter of 8 cm and height of 3 cm. Draw the cylinder with its dimensions labelled. Find the volume.
V = (pi)r2h
r = d/2 --> r = 8cm/2 --> r = 4cm
V = (3.14)(4cm)2(3cm)
V = (3.14)(4cm)(4cm)(3cm)
V = 150.72cm3
500
A figure has a length of 5 cm, a height of 2 cm, and a width of 10 cm.
Draw the net with labelled sides. Find the volume of this figure.
V = lwh
V = (5cm)(10cm)(2cm)
V = 100 cm3
500
Find the surface area of a figure with a length of 9.2cm, a width of 7cm, and a height of 5.6cm. Draw the figure with labelled sides.
SA = 2(9.2cm)(5.6cm) + 2(7cm)(5.6cm) + 2(7cm)(9.2cm)
SA = 310.24 cm2
Draw the figure. Find the area of each face and add all the areas to find surface area.
500
Ms. K was trying to find the volume of this triangular prism:
V = (Area of triangle base)(Length)
V = [2(16cm)(6cm)][12cm]
2
V = 1152cm3
Did she find the correct volume?
Yes she did!
500
Ms. K was trying to find the surface area of this figure:
She got an answer of 80 in3.
What did she do wrong? What is the correct answer?
She wrote the wrong units. The answer is 80 in2.
SA = 2(4in)(3.5in) + 2(5.5in)(4in) + (5.5in)(4in)
2
SA = 80 in2
Find the area of each face and add all the areas to find surface area.
500
Ms. K was trying to find the volume of this cylinder:
However, she did not get the correct answer:
V = (pi)r2h
V = (3.14)(25in)(2)(40in)
V = 6280in3
Did she make a mistake? If yes, what is the mistake? What is the correct answer?
Yes, she made a mistake. She multiplied the radius by 2 instead of squaring the radius.
Correct answer:
V = (pi)r2h
V = (3.14)(25in)2(40in)
V = (3.14)(25in)(25in)(40in)
V = 78,500in3