A box is 1/2 of an inch long 1/2 inch wide and 13/4 inch deep what is the volume of the box

Aleksandr [31]

Answer:

26.75 units²

Step-by-step explanation:

This shape can be split into 3 triangles and a square. Find the area of each shape then add them all up.

$A(Square)=2(2)=4\\\\A(Triangle)=\frac{1}{2}(2)(2)=2\\\\A(Triangle)=\frac{1}{2}(5)(2)=5\\\\A(Triangle)=\frac{1}{2}(9)(3.5)=15.75\\\\A(Shape)=4+2+5+15.75=26.75$

Therefore, the area of the shape is 26.75 units².

7 0

3 years ago

What is the slope of the line in the graph?

drek231 [11]

The slope is 2/2 ; rise over run

8 0

4 years ago

Read 2 more answers

Heidi looks at the donkeys and

Georgia [21]

Answer:

7 donkeys

Step-by-step explanation:

Given

A system consisting of donkeys and tourists

Heads = 50

Legs = 114

Required

Calculate number of donkeys.

Represent donkeys with D and tourists with T.

By means of identification; donkeys and tourists (human) both have 1 head.

This implies that

Number of Heads = D + T

50 = D + T ----- Equation 1

While each donkey have 4 legs, each tourists have 2 legs.

This implies that

Number of legs = 4D + 2T

114 = 4D + 2T ---- Multiply both sides by ½

114 * ½ = (4D + 2T) * ½

57 = 4D * ½ + 2T * ½

57 = 2D + T ----- Equation 2

Subtract equation 1 from 2

57 = 2D + T

- (50 = D + T)

---------------------

57 - 50 = 2D - D + T - T

7 = D

Recall that D represents the number of donkeys.

So, D = 7 implies that

The total number of donkeys are 7

6 0

3 years ago

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. a) How many cubic fee

NeTakaya

Answer:

a) The hot tub can hold 90 cubic feet when completely full.

b) the Hot tub ca hold 667.62 gallons.

c) It will cost approximately $3.34 to fill the hot tub with water.

Step-by-step explanation:

Given:

Length of the tub = 6 feet

Width of the tub = 5 feet

Height of the tub = 3 feet.

a) We need to find how many cubic feet can the hot tub hold if it is completely full.

Now we will find the volume of the tub;

Now Volume of the tub is given by length times width times height.

framing in equation form we get;

Volume of the tub = $6\times5\times3 = 90\ ft^3$

Hence The hot tub can hold 90 cubic feet when completely full.

b) Now we need to find how many gallons can it hold.

Given:

1 cubic foot = 7.418 gallons

90 cubic foot = number of gallons hot tub can hold.

By using Unitary method we get;

number of gallons hot tub can hold = $7.418 \times 90 = 667.62\ gallons.$

Hence the Hot tub ca hold 667.62 gallons.

c) Now we need to find how much will it cost to fill the hot tub if water costs $5 per 1000 gallons.

Now Given:

1000 gallons = $5

667.62 gallons = Cost to fill the hot tub with water.

By Using Unitary method we get;

Cost to fill the hot tub with water = $\frac{5\times667.62}{1000} \approx \$3.34$

Hence It will cost approximately $3.34 to fill the hot tub with water.

8 0

3 years ago

find the surface area of a right regular hexagonal pyramid with sides 3 cm and slant heights 6cm. show all of your work.

DedPeter [7]

Answer:

The surface area of right regular hexagonal pyramid = 82.222 cm³

Step-by-step explanation:

Given as , for regular hexagonal pyramid :

The of base side = 3 cm

The slant heights = 6 cm

Now ,

The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times a^{2} + 3 a \sqrt{h^{2}+ 3\times \frac{a^{2}}{4}}$

Where a is the base side

And h is the slant height

So, The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times 3^{2} + 3 \times 3 \sqrt{6^{2}+ 3\times \frac{3^{2}}{4}}$

Or, The surface area of right regular hexagonal pyramid = $\frac{3\sqrt{3}}{2}\times 9 + 9 \sqrt{36+ 3\times \frac{9}{4}}$

Or, The surface area of right regular hexagonal pyramid = 23.38 + 9 × $\frac{171}{4}$

∴ The surface area of right regular hexagonal pyramid = 23.38 + 9 × 6.538

I.e The surface area of right regular hexagonal pyramid = 23.38 + 58.842

So, The surface area of right regular hexagonal pyramid = 82.222 cm³ Answer

6 0

4 years ago