Answer:
1070cm2
Step-by-step explanation:
the cereal box represents a cuboid and it is closed hence a closed cuboid.
SA- Surface area
L- Length = 15
W- Width =4
H- Height =25
In a closed cuboid, there are going to be 6 faces( 3 pairs).
To find SA, we have to take the area of all faces and sum them up.
You can do this by carrying out the area of all faces and summing them up or you can use the formula:
SA of a closed cuboid=2(L x W) + 2(W x H) + 2(L x H)
= 2(15 x 4) + 2(4 x 25) + 2(15 x 25)
= 2(60) + 2(100) + 2(375)
=120 + 200 + 750
=<u>1070cm2</u>
Answer:
$848
Step-by-step explanation:
Calculation for the cost of this familiy's clothing in 1991
First step is to calculate the amount that is increase per year
Increase per year= ($1000-$620)/(1995-1985)
Increase per year= 380/10
Increase per year= $38
Now let y be :38*x + $620 and let x be 6 years (1991-1985)
Second step is to calculate the cost of the clothing in 1991
y = 38*6 + 620
y=228+620
y = $848
Therefore the cost of this familiy's clothing in 1991 will be $848
Answer:
55.04 ft²
Step-by-step explanation:
Calculate the area of the square, the area of the circle, then subtract the area of the circle from the area of the square.
Area of square = 16 x 16 = 256 ft²
Area of circle = 
r²
radius = 16 ÷ 2 = 8
⇒ Area of circle = 3.14 x 8² = 200.96 ft²
Shaded area = 256 - 200.96 = 55.04 ft²
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
Answer:
Hand sanitizer=135 bottles
Bar soap=83 bottles
Step-by-step explanation:
Let x represent the hand sanitizer and y the sop.
-Our problem can be expressed as:
#Make x the subject in i then substitute in ii to solve;
Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.
