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1) If you have a right trianglular prism that is 10,24,26 and has a height of 10 what is the volume of this triangular prism. To find the volume you will use the formula V=BH
B= the area of the complete base of the triangle the formula to find this is B=1/2(bh) and H= the height of the prism So....... to get the base will fill in the equation B=1/2(10x24).....10x24=240 and 1/2x240=120 so the base of this triangular prism is B=120 now we just fill in the numbers for the letters V=BH V=120x10 V=1200in³

2) With the same right triangluar prism find the surface area... to find the surface area you will use the formula S=hp+2B
h=the height of the prism p=the perimeter of the base which adding the side lengths of the base and b=the area of the bases times that by 2 because there area two bases first we find the perimeter.....sense the sides of the triangle bases are given we can just add them together 10+24+26=60.. .so p=60 now the base area which we already know from question 1) B=120 now we just fill in the numbers for letters S=hp+2B S=(10x60)=(2x120) S=600+240 S=840in²

3)IF you have a regular pryamid with a square base that has a dimentions of base length= 5 and the height=15 and with a slant height of 8 what is the volume of the pyramid...use the formula V=1/3Bh
B=the base area of the figure using the formula lengthxwidth and H=the height of the figure first we must find B sense the base is a square we can find the area of it by squareing 5 so....5squared=25 and the height was given of 15...you might wonder why it is not 8 this is because 8 is the height of the triangluar sides of the pyramid.now we fill it in V=1/3(25)(15) V=about 123.75 cubic units

4) With the same figure as 3 find the surface area...with the formula S=1/2lp+B
with B=the base area AND P=the primeter of the base or all the bases side added together and L=the SLANT height of the figure the slant height was given and to find p we just need to take the base side length which is 5 and multipuly that by 4 =20 and the B was found for the volume which was 25 now fill it in S=1/2(8)(20)+25 S=80+25 S=105 square units

5) If you have a cylinder that has a height of 7 and a radius of 6 what is the volume...use the formula V=(pi)r²h
H=the height of the cylinder and r= the radius plug it in... V=(pi)r²H V=(pi)6²7 V=252(pi) or about 791.28 cubic units

6)With the same image find the surface area..use the formula S=2(pi)(r)(h)+(2)(pi)(r)²
plug it in S=2(pi)(6)(7)+2(pi)(6)² S=2(pi)49+2(pi)36 S=98(pi)+72(pi) S=307.72+226.08 S=about 533.8 square units

7)If you have a regular cone that has a radius of 4 a slant height of 3 and a height of 6 what is the volume of this cone...use the formula
V=1/3(pi)r²h R=the radius and H=the height plug it in V=1/3(pi)4²6 V=1/3(pi)(16)(6) V=1/3(pi)96 V=about 99.4752 cubic units or 31.68(pi) cubic units

8) With the same image find the surface area of this figure ...use the formula S=(pi)rl+(pi)r²
only new varible is the l which equals the slant height of the figure so S=(pi)(4)(3)+(pi)4² S=(pi)12+(pi)16 S=37.69+50.24 S=about 87.93 or 28(pi) square units

with r being the radius
plug it in V=4/3(pi)r³ V=4/3(pi)15³ V=4/3(pi)3375 V=4488.75(pi) or about 14094.675 cubic units

10)With the same image find the surface area of this firgure use the formula S=4(pi)r²
S=4(pi)r² S=4(pi)15² S=4(pi)225 S=900(pi) or about 2826 units squared