MATHEMATICS MIDDLE SCHOOL

Dmitri wants to cover the top and sides of the box shown with glass tiles that are 5mm square. How many tiles does he need? ( The length is 15cm, the width is 20cm and the height is 9cm).

Answers

Answer 1

Answer:

Answer:

372

Step-by-step explanation:

We are given that the dimensions of the box are,

Length = 15 cm, Width = 20 cm and Height = 9 cm.

We know that the box represents a cuboid.

Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H

Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9

i.e. Surface area = 300 + 270 + 360

i.e. Surface area = 930.

Thus, the surface area of the box is 930 cm² i.e. 9300 mm².

Further, the sides of the tiles are 5 mm and the tile represents a square.

So, the surface area of the tile = 5 × 5 = 25 mm².

This gives us that,

Number of tiles required to cover the box = $(9300)/(25)$ = 372.

Hence, Dmitri requires 372 tiles to cover the box.

Answer 2

Answer: The Surface Area = lw + 2lh + 2wh;
The Surface Area = 15*20 + 2*15*9 + 2*20*9;
The Surface Area = 300 + 270 + 360;
The Surface Area = 570 + 360;
The Surface Area = 930cm^2;
The surface of glass tile is 5 × 5 = 25 cm^2;
Then, 930 ÷ 25 = 37.2;
He need 38 tiles to cover the top and sides of the box shown.

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One hundred and fifty people were asked whether they liked to see comedies or dramas and whether or not they buy popcorn for the movie. Out of 90 people that liked comedies, 75 said they buy popcorn. There were 40 people who said they do not buy popcorn. Recreate the two-way table below on your own paper to summarize the data. Then answer the question below.How many people like to see dramas but do not buy popcorn?

A.
150 people

B.
15 people

C.
25 people

D.
75 people

Answers

Answer: 15

Step-by-step explanation:

subtract 75 from 90 to get 15. those 15 people belong to the group who likes drama but are not buying popcorn. 150-90=60 which is how many people like dramas.

A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 feet.The remainder of the landis farmed.How many acres of land are farmed?Round to the nearest tenth.Explain your answer.(Hint: 1 acre = 43,560 square feet)

Answers

rectanglearea=legnth timees width
triagnlearea=1/2base times height

ok so we find volume of entier land first

we can cut into triangle an rectangle

triangle=height=650-200=450
base=600
area=1/2*600*450=135000 ft^2

rectangle=200 times 600=120000

add
135000+120000=255000ft^2

find other areas and subtract
areahouse=45*38=1710
areawooded=118*60=7080
frontyard=78*40=3120
add
1710+7080+3120=11910

minus

255000-11910=243090

how many acres are farmed

43560ft^2=1acre
divide both sides by 43560
1ft^2=1/43560 acre

multiply both sides by 243090
243090ft^2=243090/43560acre=5.5805acre=5.6acre rounded

answer is 5.6 acer

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