Kim is installing blue

What is the volume of the pyramid?

k0ka [10]

Answer:

The volume of the rectangular pyramid is 80cm³

Step-by-step explanation:

To calculate the volume of a rectangular pyramid we have to use the following formula:

v = volume

w = width = 8 cm

l = length = 6 cm

h = height = 5 cm

v = (w * l * h) / 3

we replace the values that we know

v = (8cm * 6cm * 5 cm) / 3

v = 80cm³

The volume of the rectangular pyramid is 80cm³

4 0

3 years ago

Read 2 more answers

What is 3/4 doubled? Is it 6/8 or 1 2/4?

Amanda [17]

Answer:

1 2/4

Step-by-step explanation:

3/4 doubled is $2(\frac{3}{4} )=\frac{3}{2}$

Now, $\frac{6}{8} =\frac{3}{4}$ on simplification.

$1 \frac{2}{4} =\frac{6}{4} =\frac{3}{2}$

Therefore,

3/4 doubled is 1 2/4

6 0

3 years ago

You are working for a company that designs boxes, bottles and other containers. You are currently working on a design for a milk

ra1l [238]

Volume is a measure of the quantity of substance a given object can contain. The required answers are:

1.1 The volume of each milk carton is 360 $cm^{3}$ .

1.2 The area of cardboard required to make a single milk carton is 332.6 $cm^{2}$ .

1.3 Each carton can hold 0.36 liters of milk.

1.4 The cost of filling the 200 cartons is R 86.40.

The volume of a given shape is the amount of substance that it can contain in a 3-dimensional plane. Examples of shapes with volume include cubes, cuboids, spheres, etc.

The area of a given shape is the amount of space that it would cover on a 2-dimensional plane. Examples of shapes to be considered when dealing with the area include triangle, square, rectangle, trapezium, etc.

The box to be considered in the question is a cuboid. So that;

Volume of cuboid = length x width x height

Thus,

1.1 The volume of each milk carton = length x width x height

= 6 x 6 x 10

= 360

The volume of each milk carton is 360 $cm^{3}$ .

1.2 The total area of cardboard required to make a single milk carton can be determined as follows:

i. Area of the rectangular surface = length x width

= 6 x 10

= 60

Total area of the rectangular surfaces = 4 x 60

= 240 $cm^{2}$

ii. Area of the square surface = side x side = s²

= 6 x 6

Area of the square surface = 36 $cm^{2}$

iii. There are four semicircular surfaces, this implies a total of 2 circles.

Area of a circle = $\pi r^{2}$

where r is the radius of the circle.

Total area of the semicircular surfaces = 2 $\pi r^{2}$

= 2 x $\frac{22}{7}$ x $(3)^{2}$

= 56.57

Total area of the semicircular surfaces = 56.6 $cm^{2}$

Therefore, total area of cardboard required = 240 + 36 + 56.6

= 332.6 $cm^{2}$

The area of cardboard required to make a single milk carton is 332.6 $cm^{2}$ .

1.3 Since,

1 $cm^{3}$ = 0.001 Liter

Then,

360 $cm^{3}$ = x

x = 360 x 0.001

= 0.36 Liters

Thus each carton can hold 0.36 liters of milk.

1.4 total cartons = 200

Total volume of milk required = 200 x 0.36

= 72 litres

But, 1 kiloliter costs R1 200. Thus

Total volume in kiloliters = $\frac{72}{1000}$

= 0.072 kiloliters

The cost of filling the 200 cartons = R1200 x 0.072

= R 86.40

The cost of filling the 200 cartons is R 86.40.

For more clarifications on the volume of a cuboid, visit: brainly.com/question/20463446

#SPJ1

4 0

2 years ago

Which of the following is a quadratic equation?

Aloiza [94]

Answer:

3) 4x² -1

Step-by-step explanation:

A quadratic equation is a 2nd-degree polynomial equation.

1) an exponential equation (the variable is in the exponent)

2) a cubic equation (degree = 3)

3) a quadratic equation

4) a linear equation (degree = 1)

4 0

2 years ago

In the diagram below qs and pt are altitudes and m r=55 what is m poq

guapka [62]

Answer: POQ = 125

Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>

First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.

I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.

I accidentally gave myself a one star rating, that sucks.

5 0

3 years ago