All categories

4 years ago

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

Mathematics

2 answers:

aksik [14]4 years ago

8 0

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

Addy32 years ago

0 0

620 centimeters squared

You might be interested in

An experienced landscaper thought it would be funny to play a joke on some rookie landscapers. The rookies were given the measur

pashok25 [27]

Answer:

48∛9 ft²

Step-by-step explanation:

The length (L) and width (W) are given by:

$L = 4\sqrt[3]{24}\\ W= 6\sqrt[3]{3}$

Since this is a rectangular region, the area is given by:

$A=L*W=L \\A=4\sqrt[3]{24}* 6\sqrt[3]{3}\\A=24\sqrt[3]{72}\ ft^2$

The answer can be further simplified by factoring as follows:

$A=24\sqrt[3]{72} = \\A=24\sqrt[3]{2*2*2*3*3}= 24\sqrt[3]{2^3*9}\\A=48\sqrt[3]{9}\ ft^2$

The exact area is its simplest form is 48∛9 ft²

6 0

3 years ago

What is the product of -13/8 and 24/5

IgorC [24]

Answer:

-7 4/5 or -7.8

Step-by-step explanation:

Product means multiplication

( - 13/8 )( 24/5)

= (-13 · 24)/(8 · 5) negative · positive = negative

= - 312/40

= -7 32/ 40 = -7 4/5 or 7.8

6 0

3 years ago

In a collection of toys, 1/2 are red, 1/2 are waterproof, and 1/3 are cool. 1/4 are red and waterproof. 1/6 are red and cool. 1/

abruzzese [7]

Answer:

only red = 1/12, only water proof = 1/12 , only cool = nil we assume nil for toys with three collections( cool, red, waterproof) as it was not stated.

11/6 are neither red, water proof and cool.

Step-by-step explanation:

outside the circles contain probability of neither red, cool and water proof. where the circles intersect shows probability of both either red and cool, water proof and cool and water proof and red etc. where all the circles intersect if for the three combinations which is nill. Attached is the diagram

Download doc

8 0

3 years ago

Read 2 more answers

The lateral area of a cylinder is 325 pi inch^2. The radius is 13 in. Find the surface area and volume. Please show all work!!!

USPshnik [31]

Answer:

Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²

Explanation:

1) We know the radius and the lateral area.

2) With the radius you can find the areas of the top and the bottom.

For that, you use the formula:

area of the top = area of the bottom = π r²

∴ π (13 in)² = 169π in² (each)

3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)

surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².

3) You can also find the height of the cylinder.

Use the formula: lateral area = 2π r h

∴ h = lateral area / [2 π r]

⇒ h = 325 π / [ 2π (13) ] = 12.5 in

4) With the height you can find the volume.

Use the formula: V = (4/3) π r³

∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²

8 0

3 years ago

3. At the beginning of the day, a water tank contained 526.8 gallons of water. During the day,

Andru [333]

Answer:

208.85

Step-by-step explanation:

It is 208.85 because when you have .8 + .05 =.85

5 0

3 years ago

Read 2 more answers