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Yuri [45]
3 years ago
8

NEED HELP WITH A MATH QUESTION WITH FINDING A SURFACE AREA OF A SQAURE PYRAMID

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

ANSWER

S.A = 125 {in}^{2}

EXPLANATION

The total surface area of a square pyramid is the area of the 4 triangular faces plus the area of the square base.

This is given by the formula!

S.A = 4 \times  \frac{1}{2} bh +  {l}^{2}

From the diagram, the base is 5 inches and the height is 10 inches.

We substitute the values to get:

S.A = 4 \times  \frac{1}{2}  \times 5 \times 10 +  {5}^{2}

This simplifies to;

S.A = 100 +  25

S.A = 125 {in}^{2}

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Please help with these two questions
S_A_V [24]
To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.

</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.

A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.

12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.

Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.

Shape C is a <em>prism.</em>

Shape D is a <em>pyramid.

</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.

A cube is a 3-D shape with six sides, all made up of squares of the same size.

The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.

This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.

1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.

To find the number of layers needed to fill the box, you divide 120 by 24.

120 ÷ 24 = 5

The answer to #13 is 5 layers.
7 0
3 years ago
dylan started working on homework at 5:45 p.m. it took him 1 hour and 57 minutes to complete it what time did
kkurt [141]

I'm assuming its asking what time he finished? I added it up and it seems to be 7:42 pm.

5 0
3 years ago
50 POINTS
mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A:

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet  at a rate of 7.5 ft/s

Part B:

Between 2 and 4 seconds, the height stays constant at 75 feet.

Part C:

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s

Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.

Part D:

From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.

3 0
3 years ago
An abstract sculpture in the form of a triangle has a base 21 meters and a height of 12 meters. Find the are of the triangle.
charle [14.2K]
The area of a triangle could be determined using the following formula
\boxed{a= \frac{1}{2} \times b \times h}

plug in the numbers
a =  \frac{1}{2} \times 21 \times 12
a =  \frac{1}{2} \times 252
a= \frac{252}{2}
a = 126

The area of the triangle is 126 square meters
8 0
3 years ago
What are the blank numbers for 16, 17, 18, and 19
Natasha_Volkova [10]

Answer:

16: 0.5, 5, 7.5

17: 62, 434, 682

18: 12.3, 62.5, 10

19: 1, 75, 300

Step-by-step explanation:

16: 9/18=0.5 so halve the numbers

17: 186/3=62 so multiply numbers by 62

18: 24.6/2= 12.3 so multiply by 12.3 and divide for the last one

19: 125/5=25 so for the first one divide by 25 and for the last two times by 25

8 0
2 years ago
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