Surface Area or Volume
How much wrapping paper is needed to wrap a birthday present
Surface Area
Not perfect because some overlap
A triangular prism has a triangle face with an area of 13.6 cm2 and is 22 mm long. What is it's volume?
22mm = 2.2 cm
V = area of base x length
= 13.6 x 2.2 = 29.92 cm3 or 29,920mm3
A rectangular prism has 2 sets of 3 different rectangles with areas of 12cm2, 10cm2 and 15cm2. What is the prisms surface area?
S.A. = 2 x area of rect1 + 2 x area of rect2 + 2 x area of rect3
= 2 x 12 + 2 x 10 + 2 x 15
= 24 + 20 + 30 = 74cm2
1cm2 = ______mm2
1 cm = 10mm
1cm2 = 10mm x 10mm = 100mm2
I have 6 congruent faces
cube
How much juice is in your cup
Volume
A rectangular prism has dimensions 4cm by 6cm by 2cm. What is the volume?
V = 4 x 6 x 2 = 48cm3
A rectangular prism has dimensions 2m by 1m by 3m. What is the surface area?
S.A = 2 x area of rect1 + 2 x area of rect2 + 2 x area of rect3
= 2 x (2x1) + 2 x (2 x 3) + 2 x (1x3)
= 2 x 2 + 2 x 6 + 2 X 3
= 4 + 12 + 6 = 22m2
1cm3 = ______m3
1 cm = 0.01m
1cm3 = 0.01m x 0.01m x 0.01m
= 0.000001m3
I have a round edge and 2 congruent faces
cylinder
How much water needed to fill a pool
Volume
A triangular prism has triangular face, with a base of 5cm and a height of 3cm. The height of the prism is 8cm. What is the volume?
V = area of base x height
= (5x3 /2) x 8 = 15/2 x 8 = 7.5 x 8
= 60 cm3
A rectangular prism has dimensions 6.2km by 1.4km by 5.7km. What is the surface area?
S.A = 2 x area of rect1 + 2 x area of rect2 + 2 x area of rect3
= 2 x (6.2x1.4) + 2 x (6.2 x 5.7) + 2 x (1.4x5.7)
= 2 x 8.68 + 2 x 35.34 + 2 X 7.98
= 17.36 + 70.68 + 15.96 = 104km2
5.99m2 = ______cm2
1 m = 100 cm
1m2 = 100cm x 100cm = 10,000cm2
5.99 x 10000 = 59900 cm2
I have 5 faces, at least one is a triangle
triangular prism
How many toys you can fill a toy box with?
Volume
Not perfect because there will be space between objects.
A can of pop has a circle face with an area of 11cm2 and a height of 10cm. What is the cans capacity if 1cm3 = 4mL
V= 11 x 10 = 110 cm3
if 1cm3 = 4mL, 110cm3 = 4 x 110 =
440mL
A cylinder has a circle face with an area of 10cm2 and a circumference of 1.8cm and a height of 5 cm. What is its surface area?
S.A = 2 x area of circle + area of rectangle
= 2 x 10 + Circumference x 5
= 20 + 1.8 x 5 = 20 + 9 = 29cm2
3.45cm2 = ______mm2
1 cm = 10mm
1cm2 = 10mm x 10mm = 100mm2
3.45 x 100 = 345 mm2
I have 6 faces, all faces are similar
rectangular prism
How much paint needed
Surface area (to cover walls) and volume (how much in each can
a cube has a volume of 2197 m3. What are its' dimensions?
13 m because 13 x 13 x 13 = 2197
A trianglar prism has an equilateral triangular face, with a side length of 3cm and a height of 4cm. The length of the prism is 8cm. What is the surface area?
S.A = 2 x area of triangle + 3 x area of rectangle
= 2 x (b x h /2) + 3 x (l x w)
= 2 x (3 x 4 /2) + 3 x (3 x 8)
= 2 x (12/2) + 3 x 24 = 2 x 6 + 72 = 12+72=84cm2
4.38m3 = ______cm3
1 m = 100 cm
1m3 = 100cm x 100cm x 100cm= 1000000cm3
4.38 x 1000000 = 4,380,000 cm3
I have no faces
sphere