Mathematics: Ineed ! by this afternoon! i would appreciate it: ) question: find the surface area of each figure. round the answer to two decimal places. (use π = 3.14) do not include units of measure in your answer. here is the picture l l v

144 yardsStep-by-step explanation:Multiply 12 yd by 12 yd =144 yards...

Ineed ! by this afternoon! i would appreciate

hbked23

16.03.2022

SA ≈ 340.26 cm²

Step-by-step explanation:

We have the rectangular prism 6cm × 10cm × 6cm and the semisphere with diameter D = 6cm → radius R = 3cm (6 : 2 = 3).

The surface area of given figure:

Surface area of a rectangular prism reduced by an area of a circle

Half of surface area of a sphere.

The formula of a surface area of

a reactangular prism: SA=2(lwlh+wh)

a sphere: $SA=4\pi R^2$

The formula of an area of a circle: $A=\pi r^2$

The surface area of a rectangular prism:

$l=6cm,\ w=10cm,\ h=6cm$

$SA_1=2(6\cdot10+6\cdot6+10\cdot6)=2(60+36++60)=2(156)=312\ cm^2$

The surface area of a sphere:

R=3cm

$SA_2=4\pi(3^2)=4\pi(9)=36\pi\ cm^2$

The area of a circle:

r=3cm

$A=\pi(3^2)=9\pi\ cm^2$

The surface area of figure:

$SA=SA_1-A+\dfrac{1}{2}SA_2$

Substitute:

$SA=312-9\pi+\dfrac{1}{2}(36\pi)=312-9\pi+18\pi=(312+9\pi)\ cm^2$

$\pi\approx3.14$

$SA\approx312+9(3.14)=312+28.26=340.26\ cm^2$

0,0(0 оценок)