Volume and Surface area
Calculate the volume of the square-based pyramid.
Length = 5cm Width = 5cm height = 8cm
v= (5) (5) (8)/3 = 200/3 v = 66.67cm3
You want to ship a cube. calculate the volume
length = 10 In width = 5 In height = 5 In
10 x 5 x 5 = 250 In3
Convert 1 km to cm.
1 x 1000 x 100 = 100000
If you drink 150 ml out of a 1 liter bottle of water, how much water will you have left?
1,000 ml - 150 ml = 850 ml
Calculate the surface area of the cube.
Length = 6cm Width = 6cm
(6) (6) x 6
(36) x 6
=216cm2
Steven has a carboard circle, but he needs to cut it into a specific size for it to fit into what he's working on, find the surface area of the circle with 2 decimal points.
Diameter = 10 Cm
R = 10/2
17 inches to yards.
17/12/3 = 0.47 yd
The volume of a jam pot is 500 milliliters. What is the volume in liters of 6 jam pots?
6 x 500 = 3,000 ml = 3 liters
Calculate the volume of the triangular based prism.
Width = 8 in Lengths = 14 in Height = 6 in
V = (8) (6)/2 (14)
V = 48/2 (14)
V = 24 (14)
V = 336 In3
Maria wants to calculate the volume of a cylinder for a class project, she knows the radius of the cylinder is 7cm and the height is 15cm.
V = (3.14) (7)2 (15)
V = (3.14) (49) (15)
V = 2307.9cm3
5 cups to liters.
5 x 0.25 = 1.25 liters
I drink half a liter of orange juice every day. How much orange juice do I drink per week?
500 x 7 = 3,500 ml or 3 liters 500 ml
Calculate the volume of the sphere.
Diameter = 8cm.
V = 4/3 πr2
V = 4/3 (3.14) (4)2
V = 4/3 (3.14) (16)
V = 66.99cm3
A store owner wants to hang up a new triangle sign but he needs to give the specific surface area to the manufacturer. Calculate the surface area.
Base = 9 Meters Height = 18 Meters
A = 9x18
A = 162/2
A = 81 Meters
Convert 143 Fo to Co
Co = 0.55 (143-32)
Co = 0.55 (111)
Co = 61.05 Co
A glass of water has a capacity of 200 ml. What is the capacity in liters of 10 such glasses?
10 x 200 = 2,000 ml = 2 liters
Communication question: Explain the difference between solving for volume vs surface area.
Surface area is the total area of a three-dimensional object's exterior surfaces, while volume is the amount of space the object occupies.
A ice-cream sales men but figure out the optimal size for his cones that's net him the biggest profit without scamming his customers. He has figured out the measurements he just must solve the volume of the cone to get it into production.
Diameter = 6 In Height = 5 In
V = (3.14) (3)2 (5)/3
V = (3.14) (9) (5)/3
V = 141.3/3
V = 47.1 In3
Communication Question: Compared to other subjects why would measurement conversion be important for your day to day job.
Many jobs such as healthcare, engineering, aviation and culinary arts all use measurement conversion for their daily tasks to complete their jobs some being more required then the others.
A bathtub is filled with 320 liters of water. If the capacity of the tub is 1,000 liters, how much more water is needed to fill it up completely?
1,000 - 320 = 680 liters