Question

’Diketahui limas T.abcd bebrbentuk persegi .jika luas alas limas 256 cm² dan Panjang sisi tegak nya 17 cm volume limas adalah *
a. 1280
b. 1580
c. 2560
d. 3840​

Answer 1

Bangun Ruang Sisi Tegak

[Limas Persegi]

..

[tex]\begin{aligned} Volume &= 1/3 \times Luas~Alas \times Tinggi \\&= 1/3 \times 256~cm^2 \times \left(\sqrt{(17~cm)^2 - (\sqrt{256~cm^2} \div 2)^2} \right) \\&= 1/3 \times 256~cm^2 \times \left( \sqrt{(17~cm)^2 - (8~cm)^2} \right) \\&= 1/3 \times 256~cm^2 \times 15~cm \\&= 256~cm^2 \times 5~cm \\&= \boxed{\bold{\underline{1280~cm^3}}} \end{aligned}[/tex]

Opsi Jawaban : A

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 07 - 06 - 2023}}[/tex]

Answer 2

Verified answer

VL :

= 1/3(256(√17² - 8²)

= 1/3(256(√(17(17) - (8(8)

= 1/3(256(√289 - 64)

= 1/3(256(√225)

= 1/3(256(√15²)

= 1/3(256(15)

= 1/3(3.840)

= 3.840/3

= 1.280 Centimeter³