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3 years ago

Suppose you take the small prism and stack it on top of the larger prism. What will be the volume of the composite figure

Mathematics

1 answer:

sergeinik [125]3 years ago

4 0

You didn't provide a picture, but if your problem is like the one in my workbook, I might be able to help.

Find the volume of the first figure, then find the volume of the second figure, then add them together.

V=lwh

V(1)=(15)(12)(6)

= 1,080in^3

V(2)=(12)(6)(6)

= 432in^3

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

1,080+432= 1,512 in^3

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

Your answer should be 1,512

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Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago

The product of two opposite numbers is -289. What are those numbers?

Hunter-Best [27]

Answer:

17 × -17?

Step-by-step explanation:

i dont think it needs explanation?

7 0

2 years ago

Expand the expression.<br> -70k - 3)

ruslelena [56]

Answer:

-70003

Step-by-step explanation:

-70000 - 3 = - 70003

4 0

3 years ago

Theo purchased an are rug for his dorm room. The dimensions of the rug are 8 feet by 9 feet. What is the area of Theo's rug?

Feliz [49]

Answer:

72 feet

Step-by-step explanation:

8 feet by 9 feet well first you have to notice that the word by means to multiply so you have to multiply 8x9

8x9=72feet of the area

6 0

3 years ago

How many 1/2 cup servings are in 6 cups of grapes?

solmaris [256]

Answer:

There are 12

Step-by-step explanation:

hope this helps.

4 0

3 years ago

Read 2 more answers