3. A rectangular prism has dimensions of 1, 2, and ? in.

(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain

(b) What is the volume of the prism? Explain.

(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.

a. 1/2 inches

b. 7/2 cubic inches

c. 28 cubes

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

3. A rectangular prism has dimensions of 1/2, 2, and 7/2 in.

(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.

(b) What is the volume of the prism? Explain.

(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.  

My

The dimensions are : 1/2, 2, and 7/2 in.

a. the edge length of the largest unit cube that you could use to pack the prism is 1/2 inches because this dimension is the smallest one while other two are its multiples.

b. The volume of the prism

V=length*width*height

= cube inches

c. The number of cubes in part (a) will fit the prism is:

The volume of the prism / the volume of the 1/2 in cube

= cubes

Hope it will find you well.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: