Question

PLSSSS HELPPP find the surface area and volume of the prism ILL GIVE BRAINLIESTT

Answer 1

Answer: 94 and 60, 96 and 42

Step-by-step explanation:

1. For surface area, you need to find the area the sides and base.

Base: 3*4= 12

Side 1: 4*5= 20

Side 2: 3*5= 15

Multiply each by 2.

12*2= 24

20*2= 40

15*2= 30

Add them up.

30+40+24= 94 is the surface area.

For the volume, you multiply each given number.

3*4*5

length * width * height = volume

60 is the volume.

2. For surface area, you need to find the area the sides and base. This is a triangular prisim so the formula is differrent.

Base: 3*7= 21

Side 1: (area of a triangle is 1/2bh) 3*4= 12 / 2= 6

Side 2: (area of a triangle is 1/2bh) 3*4= 12/2= 6

Side 3 (the back): 4*7= 28

Side 4 (the shaded): 5*7= 35

Add them up. This isn't a rectangular prisim so we aren't multiplying the found areas again, in the triangula rpriism we already found ALL areas.

21+6+6+28+35

= 96 is the surface area.

For the volume, you multiply each given number. You follow for triangles,

1/2 BAH

7*4*3=84

84/2

= 42 is the volume.

Answer 2

Step-by-step explanation:

oh, come on this is really simple.

let's start with the volumes.

the volume is any fully symmetrical 3D object is

base area × height

yes, that applies to both, as the triangular prism of 2. is just on its side. image it stands on one of the triangle sides, and it is all the same again.

the base area of 1. is a 3×4 rectangle (we can use the prism as it stands), and its volume is

3×4×5 = 60 ft³

you remember that the area of a rectangle is

length × width ?

the base area of 2. is as mentioned one of the right-angled triangles.

the area of a triangle is

baseline × height / 2

and for a right-angled triangle we can use its legs for baseline and height.

so, we get for the volume

4×3/2 × 7 = 2×3×7 = 6×7 = 42 cm³

now for the surface areas :

they are the sum of the areas of all sides.

1. has 6 sides in 3 pairs of equal sides :

top and bottom = 2 × 3×4 = 24 ft²

left and right = 2 × 4×5 = 40 ft²

front and back = 2 × 3×5 = 30 ft²

in total, the surface area is

24+40+30 = 94 ft²

2. has only 5 sides

top and bottom triangles = 2 × 4×3/2 = 12 cm²

a left side = 4×7 = 28 cm²

a right side = 5×7 = 35 cm²

a back side = 3×7 = 21 cm² (which it stands on in the graphic)

in total the surface area is

12+28+35+21 = 96 cm²